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publications [2019/12/23 14:28] – [Classical, Semiclassical and Quantum Physics] weinbubpublications [2021/07/14 08:03] (current) – [Classical, Semiclassical and Quantum Physics] weinbub
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   * [[David K. Ferry]] and [[Mihail (Mixi) Nedjalkov]], [[http://iopscience.iop.org/book/978-0-7503-1671-2|The Wigner Function in Science and Technology]] (IOP Publishing, 2018)   * [[David K. Ferry]] and [[Mihail (Mixi) Nedjalkov]], [[http://iopscience.iop.org/book/978-0-7503-1671-2|The Wigner Function in Science and Technology]] (IOP Publishing, 2018)
 === 2017 === === 2017 ===
 +  * [[Apostol Vourdas]], [[https://www.springer.com/gp/book/9783319594941|Finite and Profinite Quantum Systems]] (Springer, 2017)
   * [[Maurice de Gosson]], [[http://www.worldscientific.com/worldscibooks/10.1142/q0089|The Wigner Transform]], Advanced Textbooks in Mathematics (World Scientific, 2017)   * [[Maurice de Gosson]], [[http://www.worldscientific.com/worldscibooks/10.1142/q0089|The Wigner Transform]], Advanced Textbooks in Mathematics (World Scientific, 2017)
   * [[Josef Weinbub]], [[David K. Ferry]], [[Irena Knezevic]], [[Mihail (Mixi) Nedjalkov]], and [[Siegfried Selberherr]], [[http://www.iue.tuwien.ac.at/pdf/ib_2017/hashed_links/p54PChrcQOaqwqrCY_us.pdf|Book of Abstracts of the 2nd International Wigner Workshop (IW2)]] (TU Wien, 2017)   * [[Josef Weinbub]], [[David K. Ferry]], [[Irena Knezevic]], [[Mihail (Mixi) Nedjalkov]], and [[Siegfried Selberherr]], [[http://www.iue.tuwien.ac.at/pdf/ib_2017/hashed_links/p54PChrcQOaqwqrCY_us.pdf|Book of Abstracts of the 2nd International Wigner Workshop (IW2)]] (TU Wien, 2017)
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 ==== Classical, Semiclassical and Quantum Physics ====  ==== Classical, Semiclassical and Quantum Physics ==== 
 +
 +=== 2021 ===
 +  * [[Michael te Vrugt]], Gyula I Tóth, [[Raphael Wittkowski]], [[https://arxiv.org/abs/2106.00137|Master equations for Wigner functions with spontaneous collapse and their relation to thermodynamic irreversibility]], arXiv:2106.00137 (2021)
 +
 +=== 2020 ===
 +
 +  * [[Michael te Vrugt]], [[Raphael Wittkowski]], [[https://onlinelibrary.wiley.com/doi/full/10.1002/andp.202000266|Orientational order parameters for arbitrary quantum systems]], Annalen der Physik **532**, 2000266 (2020)
 +  * [[Michael te Vrugt]], Hartmut Löwen, [[Raphael Wittkowski]], [[https://www.tandfonline.com/doi/full/10.1080/00018732.2020.1854965|Classical dynamical density functional theory: from fundamentals to applications]], Advances in Physics **69**, 121-247 (2020) 
 +
 === 2019 ===  === 2019 === 
 +  * T. Ikeda, A.G. Dijkstra and [[Yoshitaka Tanimura]], [[https://aip.scitation.org/doi/10.1063/1.5086948|Modeling and analyzing a photo-driven molecular motor system: Ratchet dynamics and non-linear optical spectra]], J. Chem. Phys. **150**, 114103 (2019)
 +  * T. Ikeda and [[Yoshitaka Tanimura]], [[https://pubs.acs.org/doi/abs/10.1021/acs.jctc.8b01195|Low-Temperature Quantum Fokker–Planck and Smoluchowski Equations and Their Extension to Multistate Systems]], J. Chem. Theory Comput. **15**, 2517-2534 (2019)
 +  * Maxime Oliva and [[Ole Steuernagel]], [[https://journals.aps.org/pra/abstract/10.1103/PhysRevA.99.032104|Quantum Kerr oscillators' evolution in phase space: Wigner current, symmetries, shear suppression, and special states]], Phys. Rev. A **99**, 032104 (2019)
 +  * Maxime Oliva and [[Ole Steuernagel]], [[https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.122.020401|Dynamic Shear Suppression in Quantum Phase Space]], Phys. Rev. Lett. **122**, 020401 (2019)
 +  * Z. Xiao, T. Fuse, S. Ashhab, F. Yoshihara, [[Kouichi Semba]], M. Sasaki, M. Takeoka, and J. P. Dowling, [[https://journals.aps.org/pra/abstract/10.1103/PhysRevA.99.013827|Fast amplification and rephasing of entangled cat states in a qubit-oscillator system]], Phys. Rev. A **99**, 013827 (2019)
 +  * T. Hahn, D. Groll, T. Kuhn and [[Daniel Wigger]], [[https://journals.aps.org/prb/abstract/10.1103/PhysRevB.100.024306|Influence of excited state decay and dephasing on phonon quantum state preparation]], Phys. Rev. B **100**, 024306 (2019)
   * [[Guillem Albareda Piquer]], Aaron Kelly, and Angel Rubio, [[https://journals.aps.org/prmaterials/abstract/10.1103/PhysRevMaterials.3.023803|Nonadiabatic quantum dynamics without potential energy surfaces]], Phys. Rev. Materials **3**, 023803 (2019)   * [[Guillem Albareda Piquer]], Aaron Kelly, and Angel Rubio, [[https://journals.aps.org/prmaterials/abstract/10.1103/PhysRevMaterials.3.023803|Nonadiabatic quantum dynamics without potential energy surfaces]], Phys. Rev. Materials **3**, 023803 (2019)
   * Eric G. Arrais, Diego A. Wisniacki, Augusto J. Roncaglia, and [[Fabricio Toscano]], [[https://journals.aps.org/pre/abstract/10.1103/PhysRevE.100.052136|Work statistics for sudden quenches in interacting quantum many-body systems]], Phys. Rev. E **100**, 052136 (2019)   * Eric G. Arrais, Diego A. Wisniacki, Augusto J. Roncaglia, and [[Fabricio Toscano]], [[https://journals.aps.org/pre/abstract/10.1103/PhysRevE.100.052136|Work statistics for sudden quenches in interacting quantum many-body systems]], Phys. Rev. E **100**, 052136 (2019)
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 === 2018 === === 2018 ===
 +  * Jack Clarke and [[Michael R. Vanner]], [[https://iopscience.iop.org/article/10.1088/2058-9565/aada1d/meta|Growing macroscopic superposition states via cavity quantum optomechanics]], Quantum Science and Technology **4**, 014003 (2018)
 +  * K. E. Khosla, [[Michael R. Vanner]], N. Ares, and E. A. Laird, [[https://journals.aps.org/prx/abstract/10.1103/PhysRevX.8.021052|Displacemon Electromechanics: How to Detect Quantum Interference in a Nanomechanical Resonator]], Phys. Rev. X **8**, 021052 (2018)
 +  * T. Ikeda and [[Yoshitaka Tanimura]], [[https://doi.org/10.1016/j.chemphys.2018.07.013|Phase-Space Wavepacket Dynamics of Internal Conversion via Conical Intersection: Multi-State Quantum Fokker-Planck Equation Approach]], Chem. Phys. **515**, 203-213 (2018)
   * V. M. Bastidas, B. Renoust, [[Kae Nemoto]], and W. J. Munro, [[https://journals.aps.org/prb/abstract/10.1103/PhysRevB.98.224307|Ergodic-localized junctions in periodically driven systems]], Phys. Rev. B **98**, 224307 (2018)   * V. M. Bastidas, B. Renoust, [[Kae Nemoto]], and W. J. Munro, [[https://journals.aps.org/prb/abstract/10.1103/PhysRevB.98.224307|Ergodic-localized junctions in periodically driven systems]], Phys. Rev. B **98**, 224307 (2018)
   * [[Omar Morandi]], [[https://iopscience.iop.org/article/10.1088/1751-8121/aac3ef/meta|Quantum motion with trajectories: beyond the Gaussian beam approximation]], J. Phys. A: Math. Theor. **51**, 255301 (2018)   * [[Omar Morandi]], [[https://iopscience.iop.org/article/10.1088/1751-8121/aac3ef/meta|Quantum motion with trajectories: beyond the Gaussian beam approximation]], J. Phys. A: Math. Theor. **51**, 255301 (2018)
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 === 2017 === === 2017 ===
 +  * T. Ikeda and [[Yoshitaka Tanimura]], [[https://doi.org/10.1063/1.4989537|Probing photoisomerization processes by means of multi-dimensional electronic spectroscopy: The multi-state quantum hierarchal Fokker-Planck Equation approach]], J. Chem. Phys. **146**, 014102 (2017)
   * X. Gu, A.F. Kockum, A. Miranowicz, Y.X. Liu, and [[Franco Nori]], [[https://www.sciencedirect.com/science/article/pii/S0370157317303290|Microwave photonics with superconducting quantum circuits]], Phys. Rep. **718-719**, 1 (2017)   * X. Gu, A.F. Kockum, A. Miranowicz, Y.X. Liu, and [[Franco Nori]], [[https://www.sciencedirect.com/science/article/pii/S0370157317303290|Microwave photonics with superconducting quantum circuits]], Phys. Rep. **718-719**, 1 (2017)
   * J. Zhang, Y.X. Liu, R.B. Wu, K. Jacobs, and [[Franco Nori]], [[https://www.sciencedirect.com/science/article/pii/S0370157317300479|Quantum feedback: theory, experiments, and applications]], Phys. Rep. **679**, 1 (2017)   * J. Zhang, Y.X. Liu, R.B. Wu, K. Jacobs, and [[Franco Nori]], [[https://www.sciencedirect.com/science/article/pii/S0370157317300479|Quantum feedback: theory, experiments, and applications]], Phys. Rep. **679**, 1 (2017)
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   * Alex E. Bernardini and Mariana Chinaglia, [[https://doi.org/10.1088/1742-6596/880/1/012038|Topological view of quantum tunneling coherent destruction]], J. Phys.: Conf. Ser.  **880**, 012038 (2017)   * Alex E. Bernardini and Mariana Chinaglia, [[https://doi.org/10.1088/1742-6596/880/1/012038|Topological view of quantum tunneling coherent destruction]], J. Phys.: Conf. Ser.  **880**, 012038 (2017)
   * Alex E. Bernardini and Orfeu Bertolami, [[https://doi.org/10.1209/0295-5075/120/20002|Non-classicality from the phase-space flow analysis of the Weyl-Wigner quantum mechanics]], EPL **120**, 20002 (2017)   * Alex E. Bernardini and Orfeu Bertolami, [[https://doi.org/10.1209/0295-5075/120/20002|Non-classicality from the phase-space flow analysis of the Weyl-Wigner quantum mechanics]], EPL **120**, 20002 (2017)
-  * A. Larkin, V. Filinov, [[https://www.doi.org/10.4236/jamp.2017.52035|Phase Space Path Integral Representation for Wigner Function]], JAMP **5**, 392 (2017)+  * A. Larkin, V. Filinov, [[https://www.doi.org/10.4236/jamp.2017.52035|Phase Space Path Integral Representation for Wigner Function]], Journal of Applied Mathematics and Physics **5**, 392 (2017) 
 +  * Dimitris Kakofengitis and [[Ole Steuernagel]], [[https://link.springer.com/article/10.1140/epjp/i2017-11634-2|Wigner's quantum phase space current in weakly anharmonic weakly excited two-state systems]], European Physical Journal Plus. **132**, 381 (2017) 
 +  * Dimitris Kakofengitis, Maxime Oliva, and [[Ole Steuernagel]], [[https://journals.aps.org/pra/abstract/10.1103/PhysRevA.95.022127|Wigner's representation of quantum mechanics in integral form and its applications]], Physical Review A. **95**, 022127 (2017)
  
 === 2016 === === 2016 ===
 +  * R. Grossmann, A. Sakurai, and [[Yoshitaka Tanimura]], [[https://journals.jps.jp/doi/10.7566/JPSJ.85.034803|Electron pumping under non-Markovian dissipation: The role of the self-consistent field]], J. Phys. Soc. Jpn. **85**, 034803 (2016) 
   * [[Daniel Wigger]], H. Gehring, V.M. Axt, [[Doris Reiter]] and T. Kuhn, [[https://link.springer.com/article/10.1007/s10825-016-0856-8|Quantum dynamics of optical phonons generated by optical excitations of a quantum dot]], J. Comput. Electron **15**, 1158 (2016)   * [[Daniel Wigger]], H. Gehring, V.M. Axt, [[Doris Reiter]] and T. Kuhn, [[https://link.springer.com/article/10.1007/s10825-016-0856-8|Quantum dynamics of optical phonons generated by optical excitations of a quantum dot]], J. Comput. Electron **15**, 1158 (2016)
   * [[Todd Tilma]], [[Mark Everitt]], [[John Samson]], W. J. Munro, and [[Kae Nemoto]]: “Wigner Functions for Arbitrary Quantum Systems”,  Phys. Rev. Lett., Vol.117, 180401, DOI: [[http://dx.doi.org/10.1103/PhysRevLett.117.180401|10.1103/PhysRevLett.117.180401]], [[https://arxiv.org/abs/1601.07772|arXiv]], 2016.   * [[Todd Tilma]], [[Mark Everitt]], [[John Samson]], W. J. Munro, and [[Kae Nemoto]]: “Wigner Functions for Arbitrary Quantum Systems”,  Phys. Rev. Lett., Vol.117, 180401, DOI: [[http://dx.doi.org/10.1103/PhysRevLett.117.180401|10.1103/PhysRevLett.117.180401]], [[https://arxiv.org/abs/1601.07772|arXiv]], 2016.
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 === 2015 === === 2015 ===
 +  * [[Yoshitaka Tanimura]], [[https://aip.scitation.org/doi/10.1063/1.4916647|Real-Time and Imaginary-Time Quantum Hierarchal Fokker-Planck Equations]], J. Chem. Phys. **142**, 144110 (2015)
   * Peter Degenfeld-Schonburg, Carlos Navarrete–Benlloch, and [[Michael J. Hartmann]], [[https://journals.aps.org/pra/abstract/10.1103/PhysRevA.91.053850|Self-consistent projection operator theory in nonlinear quantum optical systems: A case study on degenerate optical parametric oscillators]], Phys. Rev. A **91**, 053850 (2015)   * Peter Degenfeld-Schonburg, Carlos Navarrete–Benlloch, and [[Michael J. Hartmann]], [[https://journals.aps.org/pra/abstract/10.1103/PhysRevA.91.053850|Self-consistent projection operator theory in nonlinear quantum optical systems: A case study on degenerate optical parametric oscillators]], Phys. Rev. A **91**, 053850 (2015)
   * Mehdi Abdi, Matthias Pernpeintner, Rudolf Gross, Hans Huebl, and [[Michael J. Hartmann]], [[https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.114.173602|Quantum State Engineering with Circuit Electromechanical Three-Body Interactions]], Phys. Rev. Lett. **114**, 173602 (2015)   * Mehdi Abdi, Matthias Pernpeintner, Rudolf Gross, Hans Huebl, and [[Michael J. Hartmann]], [[https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.114.173602|Quantum State Engineering with Circuit Electromechanical Three-Body Interactions]], Phys. Rev. Lett. **114**, 173602 (2015)
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 === 2014 === === 2014 ===
 +  * A. Sakurai and [[Yoshitaka Tanimura]], [[http://iopscience.iop.org/article/10.1088/1367-2630/16/1/015002/meta|Self-excited current oscillations in a resonant tunneling diode described by a model based on the Caldeira-Leggett Hamiltonian]], New J. of Phys. **16**, 015002 (2014)
   * I. Georgescu, S. Ashhab, and [[Franco Nori]], [[https://journals.aps.org/rmp/abstract/10.1103/RevModPhys.86.153|Quantum Simulation]], Rev. Mod. Phys. **86**, 153 (2014)   * I. Georgescu, S. Ashhab, and [[Franco Nori]], [[https://journals.aps.org/rmp/abstract/10.1103/RevModPhys.86.153|Quantum Simulation]], Rev. Mod. Phys. **86**, 153 (2014)
   * Miranowicz, J. Bajer, M. Paprzycka, Y.X. Liu, A.M. Zagoskin, and [[Franco Nori]], [[https://journals.aps.org/pra/abstract/10.1103/PhysRevA.90.033831|State-dependent photon blockade via quantum-reservoir engineering]], Phys. Rev. A **90**, 033831 (2014)   * Miranowicz, J. Bajer, M. Paprzycka, Y.X. Liu, A.M. Zagoskin, and [[Franco Nori]], [[https://journals.aps.org/pra/abstract/10.1103/PhysRevA.90.033831|State-dependent photon blockade via quantum-reservoir engineering]], Phys. Rev. A **90**, 033831 (2014)
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   * [[Peter Adam]], V.A. Andreev, I. Ghiu, A. Isar, M.A. Man'ko and V.I. Man'ko, [[http://dx.doi.org/10.1007/s10946-014-9444-1|Finite Phase Space, Wigner Functions, and Tomography for Two-Qubit States]],  J. Russ. Las. Res. **35**, 427 (2014)   * [[Peter Adam]], V.A. Andreev, I. Ghiu, A. Isar, M.A. Man'ko and V.I. Man'ko, [[http://dx.doi.org/10.1007/s10946-014-9444-1|Finite Phase Space, Wigner Functions, and Tomography for Two-Qubit States]],  J. Russ. Las. Res. **35**, 427 (2014)
   * [[Peter Adam]], V.A. Andreev, I. Ghiu, A. Isar, M.A. Man'ko and V.I. Man'ko, [[http://dx.doi.org/10.1007/s10946-014-9395-6|Wigner Functions and Spin Tomograms for Qubit States]], J. Russ. Las. Res. **35**, 3 (2014)   * [[Peter Adam]], V.A. Andreev, I. Ghiu, A. Isar, M.A. Man'ko and V.I. Man'ko, [[http://dx.doi.org/10.1007/s10946-014-9395-6|Wigner Functions and Spin Tomograms for Qubit States]], J. Russ. Las. Res. **35**, 3 (2014)
-  * [[Enno Giese]], Wolfgang Zeller, Stephan Kleinert, Matthias Meister, Vincenzo Tamma, Albert Roura, and [[Wolfgang Schleich]], [[http://ebooks.iospress.nl/publication/38097|The interface of gravity and quantum mechanics illuminated by Wigner phase space]], Proc. Intern. School Phys “Enrico Fermi” **188**, 171 (2014)+  * [[Enno Giese]], Wolfgang Zeller, Stephan Kleinert, Matthias Meister, Vincenzo Tamma, [[Albert Roura]], and [[Wolfgang Schleich]], [[http://ebooks.iospress.nl/publication/38097|The interface of gravity and quantum mechanics illuminated by Wigner phase space]], Proc. Intern. School Phys “Enrico Fermi” **188**, 171 (2014) 
 +  * D. Bakalov and [[Stephan Schiller]], [[https://link.springer.com/article/10.1007/s00340-013-5703-z|The electric quadrupole moment of molecular hydrogen ions and their potential for a molecular ion clock]], Appl. Phys. B **114**, 213 (2014)
  
 === 2013 === === 2013 ===
 +  * A. Kato and [[Yoshitaka Tanimura]], [[https://pubs.acs.org.ccindex.cn/doi/abs/10.1021/jp403056h|Quantum Suppression of Ratchet Rectification in a Brownian System Driven by a Biharmonic Force]], J. Phys. Chem. B **117**, 13132-13144 (2013)
 +  * A. Sakurai and [[Yoshitaka Tanimura]], [[https://journals.jps.jp/doi/abs/10.7566/JPSJ.82.033707|An approach to quantum transport based on reduced hierarchy equations of motion: Application to resonant tunneling diode]], J. Phys. Soc. Jpn **82**, 033707 (2013)
   * [[Daniel Wigger]], [[Doris Reiter]], V.M. Axt and T. Kuhn, [[https://journals.aps.org/prb/abstract/10.1103/PhysRevB.87.085301|Fluctuation properties of acoustic phonons generated by ultrafast optical excitation of a quantum dot]], Phys. Rev. B **87**, 085301 (2013)   * [[Daniel Wigger]], [[Doris Reiter]], V.M. Axt and T. Kuhn, [[https://journals.aps.org/prb/abstract/10.1103/PhysRevB.87.085301|Fluctuation properties of acoustic phonons generated by ultrafast optical excitation of a quantum dot]], Phys. Rev. B **87**, 085301 (2013)
   * Z.L. Xiang, S. Ashhab, J.Q. You, and [[Franco Nori]], [[https://journals.aps.org/rmp/abstract/10.1103/RevModPhys.85.623|Hybrid quantum circuits: Superconducting circuits interacting with other quantum systems]], Rev. Mod. Phys. **85**, 623 (2013)   * Z.L. Xiang, S. Ashhab, J.Q. You, and [[Franco Nori]], [[https://journals.aps.org/rmp/abstract/10.1103/RevModPhys.85.623|Hybrid quantum circuits: Superconducting circuits interacting with other quantum systems]], Rev. Mod. Phys. **85**, 623 (2013)
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   * V. Gramich, B. Kubala, S. Rohrer, and [[Joachim Ankerhold]], [[https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.111.247002|From Coulomb-Blockade to Nonlinear Quantum Dynamics in a Superconducting Circuit with a Resonator]], Phys. Rev. Lett. **111**, 247002 (2013)   * V. Gramich, B. Kubala, S. Rohrer, and [[Joachim Ankerhold]], [[https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.111.247002|From Coulomb-Blockade to Nonlinear Quantum Dynamics in a Superconducting Circuit with a Resonator]], Phys. Rev. Lett. **111**, 247002 (2013)
   * [[Andras Dombi]], [[Andras Vukics]], and [[Peter Domokos]], [[https://iopscience.iop.org/article/10.1088/0953-4075/46/22/224010/meta|Optical Bistability in Strong-Coupling Cavity QED with a Few Atoms]],  J. Phys. B Atom. Mol. Opt. Phys. **46**, 224010 (2013)   * [[Andras Dombi]], [[Andras Vukics]], and [[Peter Domokos]], [[https://iopscience.iop.org/article/10.1088/0953-4075/46/22/224010/meta|Optical Bistability in Strong-Coupling Cavity QED with a Few Atoms]],  J. Phys. B Atom. Mol. Opt. Phys. **46**, 224010 (2013)
 +  * [[Stephan Schiller]] and Gerd Breitenbach, [[https://onlinelibrary.wiley.com/doi/abs/10.1002/phbl.19990550509|Die Vermessung optischer Quantenzustände]], Phys. Bl. **55**, 39 (2013)
  
 === 2012 === === 2012 ===
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 === 2011 === === 2011 ===
 +  * A. Sakurai and [[Yoshitaka Tanimura]], [[https://pubs.acs.org.ccindex.cn/doi/abs/10.1021/jp1095618|Does hbar play a role in multidimensional spectroscopy? Reduced hierarchy equations of motion approach to molecular vibrations]], J. Phys. Chem. A **115**, 4009-4022 (2011)
   * [[Doris Reiter]], [[Daniel Wigger]], J.M. Daniels, T. Papenkort, A. Vagov, V.M. Axt and T. Kuhn, [[https://onlinelibrary.wiley.com/doi/full/10.1002/pssb.201000783|Fluctuation properties of phonons generated by ultrafast optical excitation of a quantum dot]], Phys. Status Solidi B 248, No. 4, 825-828 (2011)   * [[Doris Reiter]], [[Daniel Wigger]], J.M. Daniels, T. Papenkort, A. Vagov, V.M. Axt and T. Kuhn, [[https://onlinelibrary.wiley.com/doi/full/10.1002/pssb.201000783|Fluctuation properties of phonons generated by ultrafast optical excitation of a quantum dot]], Phys. Status Solidi B 248, No. 4, 825-828 (2011)
   * [[Doris Reiter]], [[Daniel Wigger]], V.M. Axt and T. Kuhn, [[https://journals.aps.org/prb/abstract/10.1103/PhysRevB.84.195327|Generation and dynamics of phononic cat states after optical excitation of a quantum dot]], Phys. Rev. B. 84, 195327 (2011)   * [[Doris Reiter]], [[Daniel Wigger]], V.M. Axt and T. Kuhn, [[https://journals.aps.org/prb/abstract/10.1103/PhysRevB.84.195327|Generation and dynamics of phononic cat states after optical excitation of a quantum dot]], Phys. Rev. B. 84, 195327 (2011)
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 === 2006 === === 2006 ===
 +  * [[Yoshitaka Tanimura]], [[https://journals.jps.jp/doi/abs/10.1143/JPSJ.75.082001|Stochastic Liouville, Langevin, Fokker-Planck, and master equation approaches to quantum dissipative systems]], J. Phys. Soc. Jpn. **75**, 082001 (2006)
   * Brad A. Rowland, [[Robert Wyatt]], [[https://doi.org/10.1016/j.cplett.2006.05.041|Local and non-local force analysis for Wigner function barrier scattering]] Chem. Phys. Lett. **426**, 209 (2006)    * Brad A. Rowland, [[Robert Wyatt]], [[https://doi.org/10.1016/j.cplett.2006.05.041|Local and non-local force analysis for Wigner function barrier scattering]] Chem. Phys. Lett. **426**, 209 (2006) 
 +
 === 2005 === === 2005 ===
   * C. K. Zachos, D. B. Fairlie and T. L. Curtright, [[https://doi.org/10.1142/5287|Quantum Mechanics in Phase Space. An Overview with Selected Papers]] (World Scientific Publishing Co Pte Ltd, 2005)   * C. K. Zachos, D. B. Fairlie and T. L. Curtright, [[https://doi.org/10.1142/5287|Quantum Mechanics in Phase Space. An Overview with Selected Papers]] (World Scientific Publishing Co Pte Ltd, 2005)
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 === 1998 === === 1998 ===
   * [[Alfredo Miguel Ozorio de Almeida]], [[https://www.sciencedirect.com/science/article/abs/pii/S0370157397000707|The Weyl representation in classical and quantum mechanics]], Phys. Rep. **295**, 265 (1998)   * [[Alfredo Miguel Ozorio de Almeida]], [[https://www.sciencedirect.com/science/article/abs/pii/S0370157397000707|The Weyl representation in classical and quantum mechanics]], Phys. Rep. **295**, 265 (1998)
 +  * G. Breitenbach, F. Illuminati, [[Stephan Schiller]], and J. Mlynek, [[https://iopscience.iop.org/article/10.1209/epl/i1998-00456-2/fulltext/|Broadband detection of squeezed vacuum: A spectrum of quantum states]], Europhysics Letters **44**, 192 (1998)
  
 === 1997 === === 1997 ===
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 === 1996 === === 1996 ===
   * S. Szabo, P. Adam, J. Janszky and [[Peter Domokos]], [[https://journals.aps.org/pra/abstract/10.1103/PhysRevA.53.2698|Construction of Quantum States of the Radiation Field by Discrete Coherent–State Superpositions]], Phys. Rev. A **53**, 2698 (1996)   * S. Szabo, P. Adam, J. Janszky and [[Peter Domokos]], [[https://journals.aps.org/pra/abstract/10.1103/PhysRevA.53.2698|Construction of Quantum States of the Radiation Field by Discrete Coherent–State Superpositions]], Phys. Rev. A **53**, 2698 (1996)
 +  * [[Stephan Schiller]], G. Breitenbach, S. F. Pereira, T. Müller, and J. Mlynek, [[https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.77.2933|Quantum Statistics of the Squeezed Vacuum by Measurement of the Density Matrixin the Number State Representation]], Phys. Rev. Lett. **77**, 2933 (1996)
  
 ==== Gravitation and High Energy Physics ====  ==== Gravitation and High Energy Physics ==== 
Line 300: Line 334:
 ==== Condensed Matter: Optical and Transport properties of Systems ====  ==== Condensed Matter: Optical and Transport properties of Systems ==== 
 === 2019 === === 2019 ===
 +  * [[Nicola Zamponi]] and Ansgar Jüngel, [[https://arxiv.org/abs/1905.10186|Two spinorial drift-diffusion models for quantum electron transport in graphene]], arXiv:1905.10186 (2019)
 +  * [[Nicola Zamponi]], [[https://arxiv.org/abs/1905.10185|Some fluid-dynamic models for quantum electron transport in graphene via entropy minimization]], arXiv:1905.10185 (2019)
   * [[Dmitry Karlovets]], [[https://iopscience.iop.org/article/10.1088/1751-8121/aaf9d8|On Wigner function of a vortex electron]], J. Phys. A: Math. Theor. **52**, 05LT01 (2019)   * [[Dmitry Karlovets]], [[https://iopscience.iop.org/article/10.1088/1751-8121/aaf9d8|On Wigner function of a vortex electron]], J. Phys. A: Math. Theor. **52**, 05LT01 (2019)
   * [[Thierry Goudon]] and Alexis F. Vasseur, [[https://epubs.siam.org/doi/abs/10.1137/18M1184643|Statistical Stability for Transport in Random Media]], SIAM Multiscale Model. Simul. **17**, 507 (2019)   * [[Thierry Goudon]] and Alexis F. Vasseur, [[https://epubs.siam.org/doi/abs/10.1137/18M1184643|Statistical Stability for Transport in Random Media]], SIAM Multiscale Model. Simul. **17**, 507 (2019)
Line 348: Line 384:
  
 === 2014 === === 2014 ===
 +  * Pierrat, Romain and Ambichl, Philipp and Gigan, Sylvain and Haber, Alexander and Carminati, Rémi and [[Stefan Rotter]], [[https://www.pnas.org/content/111/50/17765.short|Invariance Property of Wave Scattering Through Disordered Media]], Proceedings of the National Academy of Sciences **111**, 17765 (2014)
   * N. Crouseilles and [[Giovanni Manfredi]], [[https://www.sciencedirect.com/science/article/pii/S0010465513001963|Asymptotic preserving schemes for the Wigner-Poisson-BGK equations in the diffusion limit]], Comp. Phys. Comm. **185**, 448 (2014)   * N. Crouseilles and [[Giovanni Manfredi]], [[https://www.sciencedirect.com/science/article/pii/S0010465513001963|Asymptotic preserving schemes for the Wigner-Poisson-BGK equations in the diffusion limit]], Comp. Phys. Comm. **185**, 448 (2014)
  
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 === 2011 === === 2011 ===
 +  * [[Nicola Zamponi]] and [[Luigi Barletti]], [[https://onlinelibrary.wiley.com/doi/full/10.1002/mma.1403|Quantum Electronic Transport in Graphene: A Kinetic and Fluid-Dynamic Approach]], Mathematical Methods in the Applied Sciences **34**, 807 (2011)
   * [[Omar Morandi]] and [[Ferdinand Schürrer]], [[http://caim.simai.eu/index.php/caim/article/view/360|Wigner model for Klein tunneling in graphene]], Comm. Appl. Indust. Math. **2**, (2011)   * [[Omar Morandi]] and [[Ferdinand Schürrer]], [[http://caim.simai.eu/index.php/caim/article/view/360|Wigner model for Klein tunneling in graphene]], Comm. Appl. Indust. Math. **2**, (2011)
   * [[Nicola Zamponi]], [[Luigi Barletti]], [[ https://doi.org/10.1002/mma.1403|Quantum electronic transport in graphene: A kinetic and fluid‐dynamic approach]], MATH METHOD APPL SCI **34** 807 (2011)   * [[Nicola Zamponi]], [[Luigi Barletti]], [[ https://doi.org/10.1002/mma.1403|Quantum electronic transport in graphene: A kinetic and fluid‐dynamic approach]], MATH METHOD APPL SCI **34** 807 (2011)
 +  * [[Stefan Rotter]] and Ambichl, Philipp and Libisch, Florian, [[https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.106.120602|Generating Particlelike Scattering States in Wave Transport]]", Physical Review Letters **106**, 120602 (2011)
  
 === 2010 === === 2010 ===
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 ==== Engineering (Acoustics, Electronics, Seismology, Signals, etc.) ====  ==== Engineering (Acoustics, Electronics, Seismology, Signals, etc.) ==== 
 +
 +=== 2021 ===
 +  * R. Panda, S. Jain, R.K. Tripathy, R.R. Sharma, and [[Ram Bilas Pachori]], [[https://link.springer.com/article/10.1007/s00034-020-01537-0|Sliding mode singular spectrum analysis for the elimination of cross-terms in Wigner-Ville distribution]], Circ. Sys. Sig. Proc. **40**, 1207 (2021)
  
 === 2019 === === 2019 ===
Line 395: Line 437:
 === 2018 === === 2018 ===
   * [[Kyoung-Youm Kim]],  [[Ting-wei Tang]], and Saehwa Kim, [[https://aip.scitation.org/doi/full/10.1063/1.5055686|Accuracy balancing for the simulation of gate-all-around junctionless nanowire transistors using discrete Wigner transport equation ]], AIP Adv. **8**, 115105 (2018)   * [[Kyoung-Youm Kim]],  [[Ting-wei Tang]], and Saehwa Kim, [[https://aip.scitation.org/doi/full/10.1063/1.5055686|Accuracy balancing for the simulation of gate-all-around junctionless nanowire transistors using discrete Wigner transport equation ]], AIP Adv. **8**, 115105 (2018)
 +  * Rita Claudia Iotti and [[Fausto Rossi]], [[https://www.mdpi.com/1099-4300/20/10/726|Microscopic Theory of Energy Dissipation and Decoherence in Solid-State Quantum Devices: Need for Nonlocal Scattering Models ]], Entropy **20**, 726 (2018)
   * [[Mihail (Mixi) Nedjalkov]], [[Paul Ellinghaus]], [[Josef Weinbub]], Toufik Sadi, Asen Asenov, [[Ivan Dimov]], and [[Siegfried Selberherr]], [[https://www.sciencedirect.com/science/article/pii/S0010465518300821?via%3Dihub|Stochastic Analysis of Surface Roughness Models in Quantum Wires]], Comp. Phys. Commun. **228**, 30 (2018)   * [[Mihail (Mixi) Nedjalkov]], [[Paul Ellinghaus]], [[Josef Weinbub]], Toufik Sadi, Asen Asenov, [[Ivan Dimov]], and [[Siegfried Selberherr]], [[https://www.sciencedirect.com/science/article/pii/S0010465518300821?via%3Dihub|Stochastic Analysis of Surface Roughness Models in Quantum Wires]], Comp. Phys. Commun. **228**, 30 (2018)
   * [[David K. Ferry]] and Ian Welland, [[https://link.springer.com/article/10.1007%2Fs10825-017-1094-4|Relativistic Wigner Functions in Transition Metal Dichalcogenides]], J. Comp. Electron. **17**, 110 (2018)   * [[David K. Ferry]] and Ian Welland, [[https://link.springer.com/article/10.1007%2Fs10825-017-1094-4|Relativistic Wigner Functions in Transition Metal Dichalcogenides]], J. Comp. Electron. **17**, 110 (2018)
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 === 2017 === === 2017 ===
 +  * [[Maciej Woloszyn]] and [[Bartlomiej Spisak]], [[https://journals.aps.org/prb/abstract/10.1103/PhysRevB.96.075440|Dissipative transport of thermalized electrons through a nanodevice]], Phys. Rev. B **96**, 075440 (2017)  
   * [[Joon-Ho Lee]] and [[Mincheol Shin]], [[https://ieeexplore.ieee.org/document/8013152|Quantum transport simulation of nanowire resonant tunneling diodes based on a Wigner function model with spatially dependent effective masses]], IEEE T. Nanotech. **16**, 1028 (2017)   * [[Joon-Ho Lee]] and [[Mincheol Shin]], [[https://ieeexplore.ieee.org/document/8013152|Quantum transport simulation of nanowire resonant tunneling diodes based on a Wigner function model with spatially dependent effective masses]], IEEE T. Nanotech. **16**, 1028 (2017)
 +  * Rita Claudia Iotti and [[Fausto Rossi]], [[https://link.springer.com/article/10.1140/epjb/e2017-80462-3|Phonon-induced dissipation and decoherence in solid-state quantum devices: Markovian versus non-Markovian treatments]], Europ. Phys. J. B **90**, 250 (2017)
 +  * Rita Claudia Iotti, Fabrizio Dolcini and [[Fausto Rossi]], [[https://journals.aps.org/prb/abstract/10.1103/PhysRevB.96.115420|Wigner-function formalism applied to semiconductor quantum devices: Need for nonlocal scattering models]], Phys. Rev. B **96**, 115420 (2017)
   * [[Joon-Ho Lee]] and [[Mincheol Shin]], [[https://www.ingentaconnect.com/contentone/asp/jctn/2017/00000014/00000003/art00013|Interplay Between a Gaussian Wave Packet and a Non-Reflecting Potential Analyzed Using the Wigner Equation]], J. Comput. Theor. Nanosci. **14**, 1329 (2017)   * [[Joon-Ho Lee]] and [[Mincheol Shin]], [[https://www.ingentaconnect.com/contentone/asp/jctn/2017/00000014/00000003/art00013|Interplay Between a Gaussian Wave Packet and a Non-Reflecting Potential Analyzed Using the Wigner Equation]], J. Comput. Theor. Nanosci. **14**, 1329 (2017)
   * Khadija A. Khair, [[Shaikh S. Ahmed]], [[https://ieeexplore.ieee.org/abstract/document/8117451|Effects of uniaxial strain on polar optical phonon scattering and electron transport in monolayer MoS2 FETs]], Proc. IEEE  International Conference on Nanotechnology (NANO), (2017)   * Khadija A. Khair, [[Shaikh S. Ahmed]], [[https://ieeexplore.ieee.org/abstract/document/8117451|Effects of uniaxial strain on polar optical phonon scattering and electron transport in monolayer MoS2 FETs]], Proc. IEEE  International Conference on Nanotechnology (NANO), (2017)
Line 412: Line 458:
  
 === 2016 === === 2016 ===
 +  * U. Kaczor, B. Klimas, D. Szydlowski, [[Maciej Woloszyn]], and [[Bartlomiej Spisak]], [[https://www.degruyter.com/view/j/phys.2016.14.issue-1/phys-2016-0036/phys-2016-0036.xml|Phase-space description of the coherent state dynamics in a small one-dimensional system]], Open Phys. **14**, 354 (2016)  
   * R.B. Pachori and A. Nishad, [[https://doi.org/10.1016/j.sigpro.2015.07.026|Cross-terms reduction in Wigner-Ville distribution using tunable-Q wavelet transform]], Signal Process **120**, 288 (2016)   * R.B. Pachori and A. Nishad, [[https://doi.org/10.1016/j.sigpro.2015.07.026|Cross-terms reduction in Wigner-Ville distribution using tunable-Q wavelet transform]], Signal Process **120**, 288 (2016)
 +  * Rita Claudia Iotti, Fabrizio Dolcini, Arianna Montorsi and [[Fausto Rossi]], [[https://link.springer.com/article/10.1007/s10825-016-0858-6|Electron–phonon dissipation in quantum nanodevices]], J. Comput. Electron. **15**, 1170 (2016)
   * [[Shaikh S. Ahmed]], et al., [[https://ieeexplore.ieee.org/abstract/document/7853846/authors#authors|Multiscale-multiphysics modeling of nonclassical semiconductor devices]], Proc. International Conference on Electrical and Computer Engineering (ICECE), (2016)   * [[Shaikh S. Ahmed]], et al., [[https://ieeexplore.ieee.org/abstract/document/7853846/authors#authors|Multiscale-multiphysics modeling of nonclassical semiconductor devices]], Proc. International Conference on Electrical and Computer Engineering (ICECE), (2016)
   * [[Ram Bilas Pachori]] and A. Nishad, [[https://www.sciencedirect.com/science/article/pii/S0165168415002637|Cross-terms reduction in Wigner-Ville distribution using tunable-Q wavelet transform]], Sig. Proc. **120**, 288 (2016)   * [[Ram Bilas Pachori]] and A. Nishad, [[https://www.sciencedirect.com/science/article/pii/S0165168415002637|Cross-terms reduction in Wigner-Ville distribution using tunable-Q wavelet transform]], Sig. Proc. **120**, 288 (2016)
  
 +=== 2015 ===
 +  * [[Bartlomiej Spisak]], [[Maciej Woloszyn]], D. Szydlowski, [[https://link.springer.com/article/10.1007/s10825-015-0733-x|Dynamical localisation of conduction electrons in one-dimensional disordered systems]], J. Comput. Electron. **14**, 916 (2015) 
 +  * Roberto Rosati, Fabrizio Dolcini and [[Fausto Rossi]], [[https://journals.aps.org/prb/abstract/10.1103/PhysRevB.92.235423|Electron-phonon coupling in metallic carbon nanotubes: Dispersionless electron propagation despite dissipation]], Phys. Rev. B **92**, 235423 (2015)
  
 === 2014 === === 2014 ===
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 === 2013 === === 2013 ===
 +  * Rosati, Roberto and Dolcini, Fabrizio and Iotti, Rita Claudia and [[Fausto Rossi]], [[https://journals.aps.org/prb/abstract/10.1103/PhysRevB.88.035401|Wigner-function formalism applied to semiconductor quantum devices: failure of the conventional boundary condition scheme]], Phys. Rev. B **88**, 035401 (2013)
   * P. Jain and [[Ram Bilas Pachori]], [[https://www.sciencedirect.com/science/article/abs/pii/S0016003213000069|Marginal energy density over the low frequency range as a feature for voiced/non-voiced detection in noisy speech signals]], J. Frank. Ins. **350**, 678 (2013)   * P. Jain and [[Ram Bilas Pachori]], [[https://www.sciencedirect.com/science/article/abs/pii/S0016003213000069|Marginal energy density over the low frequency range as a feature for voiced/non-voiced detection in noisy speech signals]], J. Frank. Ins. **350**, 678 (2013)
   * V. Bajaj and [[Ram Bilas Pachori]], [[https://www.sciencedirect.com/science/article/pii/S0169260713002265|Automatic classification of sleep stages based on the time-frequency image of EEG signals]], Comp. Meth. Prog. Biomed. **112**, 320 (2013)   * V. Bajaj and [[Ram Bilas Pachori]], [[https://www.sciencedirect.com/science/article/pii/S0169260713002265|Automatic classification of sleep stages based on the time-frequency image of EEG signals]], Comp. Meth. Prog. Biomed. **112**, 320 (2013)
   * Lei Tian, [[Zhengyun Zhang]], [[Jonathan Petruccelli]], and George Barbastathis, [[https://doi.org/10.1364/OE.21.010511|Wigner function measurement using a lenslet array]], Opt. Express **21**, 10511 (2013)   * Lei Tian, [[Zhengyun Zhang]], [[Jonathan Petruccelli]], and George Barbastathis, [[https://doi.org/10.1364/OE.21.010511|Wigner function measurement using a lenslet array]], Opt. Express **21**, 10511 (2013)
 +  * D. Szydlowski, [[Maciej Woloszyn]], and [[Bartlomiej Spisak]], [[https://iopscience.iop.org/article/10.1088/0268-1242/28/10/105022/pdf|Phase-space description of wave packet approach to electronic transport in nanoscale systems]], Semicond. Sci. Technol. **28**, 105022 (2013) 
 +  * P. Wójcik, J. Adamowski, [[Maciej Woloszyn]], and [[Bartlomiej Spisak]], [[https://aip.scitation.org/doi/abs/10.1063/1.4811836?journalCode=apl|Spin filter effect at room temperature in GaN/GaMnN ferromagnetic resonant tunnelling diode]], Appl. Phys. Lett. **102**, 242411 (2013) 
 +
 +=== 2012 ===
 +  * P. Wojcik, J. Adamowski, [[Maciej Woloszyn]], and [[Bartlomiej Spisak]], [[https://journals.aps.org/prb/abstract/10.1103/PhysRevB.86.165318|Intrinsic oscillations of spin current polarization in a paramagnetic resonant tunneling diode]], Phys. Rev. B **86**, 165318 (2012) 
 +  * P. Wojcik, [[Bartlomiej Spisak]], [[Maciej Woloszyn]], and J. Adamowski, [[https://iopscience.iop.org/article/10.1088/0268-1242/27/11/115004/meta|Hysteresis loops of spin-dependent electronic current in a paramagnetic resonant tunnelling diode]], Semicond. Sci. Technol. **27**, 115004 (2012) 
 +  * P. Wojcik, [[Bartlomiej Spisak]], [[Maciej Woloszyn]], J. Adamowski, [[https://aip.scitation.org/doi/10.1063/1.4729895|Tuning of terahertz intrinsic oscillations in asymmetric triple-barrier resonant tunneling diodes]], J. Appl. Phys. **111**, 124310 (2012) 
  
 === 2011 === === 2011 ===
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 === 2010 === === 2010 ===
   * [[Mihail (Mixi) Nedjalkov]], [[Hans Kosina]], and Philipp Schwaha, [[https://link.springer.com/article/10.1007%2Fs10825-010-0316-9|Device Modeling in the Wigner Picture]], J. Comp. Electron. **9**, 218 (2010)   * [[Mihail (Mixi) Nedjalkov]], [[Hans Kosina]], and Philipp Schwaha, [[https://link.springer.com/article/10.1007%2Fs10825-010-0316-9|Device Modeling in the Wigner Picture]], J. Comp. Electron. **9**, 218 (2010)
 +  * P. Wojcik, [[Bartlomiej Spisak]], [[Maciej Woloszyn]], J. Adamowski, [[https://iopscience.iop.org/article/10.1088/0268-1242/25/12/125012|Intrinsic current oscillations in an asymmetric triple-barrier resonant tunnelling diode]], Semicond. Sci. Technol. **25**, 125012 (2010) 
  
 === 2009 === === 2009 ===
Line 439: Line 499:
   * Huu-Nha Nguyen, [[Damien Querlioz]], Sylvie Galdin-Retailleau, Arnaud Bournel, and [[Philippe Dollfus]], [[https://ieeexplore.ieee.org/document/5091161|Wigner Monte Carlo simulation of CNTFET: Comparison between semi-classical and quantum transport]], Proc. IWCE, 257 (2009)   * Huu-Nha Nguyen, [[Damien Querlioz]], Sylvie Galdin-Retailleau, Arnaud Bournel, and [[Philippe Dollfus]], [[https://ieeexplore.ieee.org/document/5091161|Wigner Monte Carlo simulation of CNTFET: Comparison between semi-classical and quantum transport]], Proc. IWCE, 257 (2009)
   * [[Zhengyun Zhang]] and Marc Levoy, [[https://ieeexplore.ieee.org/document/5559007|Wigner distributions and how they relate to the light field]], Proc. IEEE International Conference on Computational Photography (ICCP), 1-10 (2009)   * [[Zhengyun Zhang]] and Marc Levoy, [[https://ieeexplore.ieee.org/document/5559007|Wigner distributions and how they relate to the light field]], Proc. IEEE International Conference on Computational Photography (ICCP), 1-10 (2009)
 +  * [[Bartlomiej Spisak]], [[Maciej Woloszyn]], P. Wojcik, G.J. Morgan, [[https://iopscience.iop.org/article/10.1088/1742-6596/193/1/012130|Wigner distribution function description of a multilayered nanostructure with magnetic impurities]], J. Phys.: Conf. Ser. **193**, 012130 (2009) 
 +  * P. Wojcik, [[Bartlomiej Spisak]], [[Maciej Woloszyn]], J. Adamowski, [[https://iopscience.iop.org/article/10.1088/0268-1242/24/9/095012|Self-consistent Wigner distribution function study of gate-voltage controlled triple-barrier resonant tunnelling diode]], Semicond. Sci. Technol. **24**, 095012 (2009) 
 +  * [[Bartlomiej Spisak]], [[Maciej Woloszyn]], [[https://journals.aps.org/prb/abstract/10.1103/PhysRevB.80.035127|Nonclassical properties of electronic states of aperiodic chains in a homogeneous electric field]], Phys. Rev. B **80**, 035127 (2009) 
  
 === 2008 === === 2008 ===
   * [[Damien Querlioz]], Jerome Saint-Martin, Arnaud Bournel, and [[Philippe Dollfus]], [[https://journals.aps.org/prb/abstract/10.1103/PhysRevB.78.165306|Wigner Monte Carlo simulation of phonon-induced electron decoherence in semiconductor nanodevices]], Phys. Rev. B **78**, 165306 (2008)   * [[Damien Querlioz]], Jerome Saint-Martin, Arnaud Bournel, and [[Philippe Dollfus]], [[https://journals.aps.org/prb/abstract/10.1103/PhysRevB.78.165306|Wigner Monte Carlo simulation of phonon-induced electron decoherence in semiconductor nanodevices]], Phys. Rev. B **78**, 165306 (2008)
 +  * Taj, David and [[Fausto Rossi]], [[https://onlinelibrary.wiley.com/doi/abs/10.1002/pssc.200776527|Quantum non-locality in systems with open boundaries: From the Wigner-function formalism to non-homogeneous Markovian master equations]], physica status solidi (c) **5**, 66 (2008)
  
 === 2007 === === 2007 ===
-  * [[Clemens Heitzinger]], [[Christian Ringhofer]], Shaikh Ahmed, and [[Dragica Vasileska]], [[https://link.springer.com/article/10.1007/s10825-006-0058-x|3D Monte-Carlo device simulations using an effective quantum potential including electron-electron interactions]],  J. Comput. Electron. **6**, 15 (2007)+  * [[Clemens Heitzinger]], [[Christian Ringhofer]], [[Shaikh S. Ahmed]], and [[Dragica Vasileska]], [[https://link.springer.com/article/10.1007/s10825-006-0058-x|3D Monte-Carlo device simulations using an effective quantum potential including electron-electron interactions]],  J. Comput. Electron. **6**, 15 (2007)
   * Emiliano Cancellieri, [[Paolo Bordone]], and [[Carlo Jacoboni]], [[https://journals.aps.org/prb/pdf/10.1103/PhysRevB.76.214301|Effect of symmetry in the many-particle Wigner function]], Phys. Rev. B **76**, 214301 (2007)   * Emiliano Cancellieri, [[Paolo Bordone]], and [[Carlo Jacoboni]], [[https://journals.aps.org/prb/pdf/10.1103/PhysRevB.76.214301|Effect of symmetry in the many-particle Wigner function]], Phys. Rev. B **76**, 214301 (2007)
   * Emiliano Cancellieri, [[Paolo Bordone]], and [[Carlo Jacoboni]], [[http://eprints.whiterose.ac.uk/84429/|Effect of the Pauli Exclusion Principle in the Many-Electron Wigner Function]] (2007)   * Emiliano Cancellieri, [[Paolo Bordone]], and [[Carlo Jacoboni]], [[http://eprints.whiterose.ac.uk/84429/|Effect of the Pauli Exclusion Principle in the Many-Electron Wigner Function]] (2007)
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 === 2006 === === 2006 ===
 +  * Taj, D and Genovese, L and [[Fausto Rossi]], [[https://iopscience.iop.org/article/10.1209/epl/i2006-10047-3|Quantum-transport simulations with the Wigner-function formalism: Failure of conventional boundary-condition schemes]], Europhys. Lett. **74**, 1060 (2006) 
 +  * Taj, David and Genovese, L and [[Fausto Rossi]], [[https://onlinelibrary.wiley.com/doi/abs/10.1002/pssc.200668052|Transport in quantum devices: modelling contacts in the Wigner formalism]], physica status solidi (c) **3**, 2419 (2006)
   * [[Harold Grubin]], [[https://www.scientific.net/AST.52.36|Transient Wigner function studies of DMS barrier devices]], Adv. Sci. Techn. **52**, 36 (2006)   * [[Harold Grubin]], [[https://www.scientific.net/AST.52.36|Transient Wigner function studies of DMS barrier devices]], Adv. Sci. Techn. **52**, 36 (2006)
   * V. Sverdlov, T. Grasser, [[Hans Kosina]], and [[Siegfried Selberherr]], [[https://link.springer.com/article/10.1007%2Fs10825-006-0041-6|Scattering and Space-Charge Effects in Wigner Monte Carlo Simulations of Single and Double Barrier Devices]],  J. Comp. Electron. **5**, 447 (2006)   * V. Sverdlov, T. Grasser, [[Hans Kosina]], and [[Siegfried Selberherr]], [[https://link.springer.com/article/10.1007%2Fs10825-006-0041-6|Scattering and Space-Charge Effects in Wigner Monte Carlo Simulations of Single and Double Barrier Devices]],  J. Comp. Electron. **5**, 447 (2006)
Line 462: Line 527:
   * Patrick Loughlin and [[Leon Cohen]], [[https://asa.scitation.org/doi/10.1121/1.2001488|A Wigner approximation method for wave propagation]], J. Acoust. Soc. Amer **118**, 1268 (2005)   * Patrick Loughlin and [[Leon Cohen]], [[https://asa.scitation.org/doi/10.1121/1.2001488|A Wigner approximation method for wave propagation]], J. Acoust. Soc. Amer **118**, 1268 (2005)
   * V. Sverdlov, A. Gehring, [[Hans Kosina]], and [[Siegfried Selberherr]], [[https://www.sciencedirect.com/science/article/pii/S003811010500198X?via%3Dihub|Quantum Transport in Ultra-Scaled Double-Gate MOSFETs: A Wigner Function-Based Monte Carlo Approach]], Sol. Stat. Electron. **49**, 1510 (2005)   * V. Sverdlov, A. Gehring, [[Hans Kosina]], and [[Siegfried Selberherr]], [[https://www.sciencedirect.com/science/article/pii/S003811010500198X?via%3Dihub|Quantum Transport in Ultra-Scaled Double-Gate MOSFETs: A Wigner Function-Based Monte Carlo Approach]], Sol. Stat. Electron. **49**, 1510 (2005)
 +  * Genovese, Luigi and Taj, David and [[Fausto Rossi]], [[https://arxiv.org/abs/cond-mat/0506757|Quantum Non-Locality in Systems with Open Boundaries: Failure of the Wigner-Function Formalism]], arXiv:cond-mat/0506757 (2005)
   * Chiara Manzini and [[Luigi Barletti]], [[https://www.sciencedirect.com/science/article/pii/S0362546X04003359|An analysis of the Wigner--Poisson problem with inflow boundary conditions]], Nonl. Anal. Theor. Meth. Appl. **60**, 77 (2005)   * Chiara Manzini and [[Luigi Barletti]], [[https://www.sciencedirect.com/science/article/pii/S0362546X04003359|An analysis of the Wigner--Poisson problem with inflow boundary conditions]], Nonl. Anal. Theor. Meth. Appl. **60**, 77 (2005)
   * [[Lucio Demeio]], [[Paolo Bordone]], and [[Carlo Jacoboni]], [[https://www.tandfonline.com/doi/abs/10.1080/00411450508951151|Multiband, non-parabolic Wigner-function approach to electron transport in semiconductors]], Trans. Theor Stat. Phys. **34**, 499 (2005)   * [[Lucio Demeio]], [[Paolo Bordone]], and [[Carlo Jacoboni]], [[https://www.tandfonline.com/doi/abs/10.1080/00411450508951151|Multiband, non-parabolic Wigner-function approach to electron transport in semiconductors]], Trans. Theor Stat. Phys. **34**, 499 (2005)
   * A. Gehring and [[Hans Kosina]], [[https://link.springer.com/article/10.1007/s10825-005-7109-6|Wigner Function-Based Simulation of Quantum Transport in Scaled DG-MOSFETs Using a Monte Carlo Method]], J. Comp. Electron. **4**, 67 (2005)   * A. Gehring and [[Hans Kosina]], [[https://link.springer.com/article/10.1007/s10825-005-7109-6|Wigner Function-Based Simulation of Quantum Transport in Scaled DG-MOSFETs Using a Monte Carlo Method]], J. Comp. Electron. **4**, 67 (2005)
 +  * [[Bartlomiej Spisak]], A. Paja, G.J. Morgan, [[https://onlinelibrary.wiley.com/doi/abs/10.1002/pssb.200440024|Influence of spin–orbit interaction on the electrical conductivity of three-dimensional disordered systems]], phys. stat. sol. (b) **242**, 1460 (2005) 
  
 === 2004 === === 2004 ===
   * [[Carlo Jacoboni]] and [[Paolo Bordone]], [[https://iopscience.iop.org/article/10.1088/0034-4885/67/7/R01/meta|The Wigner-function approach to non-equilibrium electron transport]], Rep. Prog. Phys. **67**, 1033 (2004)   * [[Carlo Jacoboni]] and [[Paolo Bordone]], [[https://iopscience.iop.org/article/10.1088/0034-4885/67/7/R01/meta|The Wigner-function approach to non-equilibrium electron transport]], Rep. Prog. Phys. **67**, 1033 (2004)
 +  * Zaccaria, Remo Proietti and [[Fausto Rossi]], [[https://iopscience.iop.org/article/10.1088/0268-1242/19/4/086|Generalized Weyl--Wigner formalism for the simulation of open quantum devices: a density-matrix approach]], Semicond. Sci. Techn. **19**, S257 (2004)
   * [[Harold Grubin]], [[https://www.spiedigitallibrary.org/conference-proceedings-of-spie/5584/0000/Wigner-function-studies-of-spin-transport-in-dilute-magnetic-semiconductor/10.1117/12.582770.short?SSO=1|Wigner function studies of spin transport in dilute magnetic semiconductor barrier structures]], Proc. SPIE **5584** (2004)   * [[Harold Grubin]], [[https://www.spiedigitallibrary.org/conference-proceedings-of-spie/5584/0000/Wigner-function-studies-of-spin-transport-in-dilute-magnetic-semiconductor/10.1117/12.582770.short?SSO=1|Wigner function studies of spin transport in dilute magnetic semiconductor barrier structures]], Proc. SPIE **5584** (2004)
   * [[Lucio Demeio]], [[Paolo Bordone]], and [[Carlo Jacoboni]], [[https://iopscience.iop.org/article/10.1088/0268-1242/19/4/082|Numerical simulation of intervalley transitions by the Wigner-function approach]], Semicond. Sci. Techn. **19**, S244 (2004)   * [[Lucio Demeio]], [[Paolo Bordone]], and [[Carlo Jacoboni]], [[https://iopscience.iop.org/article/10.1088/0268-1242/19/4/082|Numerical simulation of intervalley transitions by the Wigner-function approach]], Semicond. Sci. Techn. **19**, S244 (2004)
Line 475: Line 543:
   * [[Luigi Barletti]], [[https://www.tandfonline.com/doi/full/10.1081/TT-120024764|Wigner envelope functions for electron transport in semiconductor devices]], Trans. Theor Stat. Phys. **32**, 253 (2003)   * [[Luigi Barletti]], [[https://www.tandfonline.com/doi/full/10.1081/TT-120024764|Wigner envelope functions for electron transport in semiconductor devices]], Trans. Theor Stat. Phys. **32**, 253 (2003)
   * [[Luigi Barletti]], [[http://www.bdim.eu/item?id=BUMI_2003_8_6B_3_693_0|A mathematical introduction to the Wigner formulation of quantum mechanics]], Bollettino dell'Unione Matematica Italiana **6**, 693 (2003)   * [[Luigi Barletti]], [[http://www.bdim.eu/item?id=BUMI_2003_8_6B_3_693_0|A mathematical introduction to the Wigner formulation of quantum mechanics]], Bollettino dell'Unione Matematica Italiana **6**, 693 (2003)
 +  * Zaccaria, Remo Proietti and Iotti, Rita C and [[Fausto Rossi]], [[https://link.springer.com/article/10.1023/B:JCEL.0000011415.34531.b1|Microscopic Modelling of Quantum Open Systems: A Generalized Wigner-Function Approach]], J. Comput. Electron. **2**, 141 (2003)
   * [[Lucio Demeio]], [[Luigi Barletti]], [[Paolo Bordone]] and [[Carlo Jacoboni]], [[https://www.tandfonline.com/doi/full/10.1081/TT-120024766|Wigner function for multiband transport in semiconductors]], Trans. Theor Stat. Phys. **32**, 307 (2003)   * [[Lucio Demeio]], [[Luigi Barletti]], [[Paolo Bordone]] and [[Carlo Jacoboni]], [[https://www.tandfonline.com/doi/full/10.1081/TT-120024766|Wigner function for multiband transport in semiconductors]], Trans. Theor Stat. Phys. **32**, 307 (2003)
   * [[Paolo Bordone]], Alberto Bertoni, Rossella Brunetti, and [[Carlo Jacoboni]], [[https://www.sciencedirect.com/science/article/pii/S0378475402002410|Monte Carlo simulation of quantum electron transport based on Wigner paths]], Math. Comput. Simul. **62**, 307 (2003)   * [[Paolo Bordone]], Alberto Bertoni, Rossella Brunetti, and [[Carlo Jacoboni]], [[https://www.sciencedirect.com/science/article/pii/S0378475402002410|Monte Carlo simulation of quantum electron transport based on Wigner paths]], Math. Comput. Simul. **62**, 307 (2003)
   * [[Carlo Jacoboni]], Rossella Brunetti, and Stefano Monastra: "Quantum dynamics of polaron formation with the Wigner-function approach", Physical Review B, Vol.68, No.12, p.125205, 2003.   * [[Carlo Jacoboni]], Rossella Brunetti, and Stefano Monastra: "Quantum dynamics of polaron formation with the Wigner-function approach", Physical Review B, Vol.68, No.12, p.125205, 2003.
 +  * [[Bartlomiej Spisak]], A. Paja, [[https://www.worldscientific.com/doi/abs/10.1142/9789812704474_0036|New Approach to the Spin-Orbit Scattering of Electrons in Disordered Metallic Systems]], Proceedings of the 7th International School on Theoretical Physics, World Scientific, New Jersey-London-Hong Kong-Singapore 2003
  
 === 2002 ===  === 2002 === 
 +  * Zaccaria, Remo Proietti and [[Fausto Rossi]], [[https://arxiv.org/abs/cond-mat/0204637|Generalized Wigner Function Formulation for Quantum Systems with Open Boundaries]], arXiv:cond-mat/0204637 (2002)
   * Michalopoulou, Zoi-Heleni and [[Leon Cohen]], [[https://asa.scitation.org/doi/abs/10.1121/1.4778105|Wigner--Ville representations for acoustic source localization]], J. Acoust. Soc. Amer. **111**, 2386 (2002)   * Michalopoulou, Zoi-Heleni and [[Leon Cohen]], [[https://asa.scitation.org/doi/abs/10.1121/1.4778105|Wigner--Ville representations for acoustic source localization]], J. Acoust. Soc. Amer. **111**, 2386 (2002)
   * [[Lucio Demeio]], [[Luigi Barletti]], Andrea Bertoni, [[Paolo Bordone]], and [[Carlo Jacoboni]], [[https://www.sciencedirect.com/science/article/pii/S0921452601013540|Wigner-function approach to multiband transport in semiconductors]], Phys. B Cond. Matt. **314**, 104 (2002)   * [[Lucio Demeio]], [[Luigi Barletti]], Andrea Bertoni, [[Paolo Bordone]], and [[Carlo Jacoboni]], [[https://www.sciencedirect.com/science/article/pii/S0921452601013540|Wigner-function approach to multiband transport in semiconductors]], Phys. B Cond. Matt. **314**, 104 (2002)
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 ==== Mathematical and Theoretical Physics ====  ==== Mathematical and Theoretical Physics ==== 
 === 2019 === === 2019 ===
 +  * [[Herbert Spohn]], [[https://link.springer.com/article/10.1007/s10955-019-02320-5|Generalized Gibbs Ensembles of the Classical Toda Chain]], Journal of Statistical Physics (2019)
   * Marcos Saraceno and [[Alfredo Miguel Ozorio de Almeida]], [[https://iopscience.iop.org/article/10.1088/1751-8121/aafdc2|Translations and reflections on the torus: identities for discrete Wigner functions and transforms]], J. Phys. A **52**, 095301 (2019)   * Marcos Saraceno and [[Alfredo Miguel Ozorio de Almeida]], [[https://iopscience.iop.org/article/10.1088/1751-8121/aafdc2|Translations and reflections on the torus: identities for discrete Wigner functions and transforms]], J. Phys. A **52**, 095301 (2019)
   * Xiang-Guo Meng, Jian-Ming Liu, Ji-Suo Wang, and [[Hongyi Fan]], [[https://link.springer.com/article/10.1140/epjd/e2018-90224-6|New generalized binomial theorems involving two-variable Hermite polynomials via quantum optics approach and their applications]], Europ. Phys. J. D **73**, 32 (2019)   * Xiang-Guo Meng, Jian-Ming Liu, Ji-Suo Wang, and [[Hongyi Fan]], [[https://link.springer.com/article/10.1140/epjd/e2018-90224-6|New generalized binomial theorems involving two-variable Hermite polynomials via quantum optics approach and their applications]], Europ. Phys. J. D **73**, 32 (2019)
Line 553: Line 625:
  
 === 2012 === === 2012 ===
 +  * Earnshaw RA, Lei C, Li J, Mugassabi S and [[Apostol Vourdas]], [[https://www.sciencedirect.com/science/article/pii/S0378437111008958|Large scale data analysis using the Wigner function]], Physica A **391**, 2401-2407 (2012)
   * [[Anton Arnold]], I. Gamba, M.P. Gualdani, S. Mischler, C. Mouhot, C. Sparber, [[https://www.worldscientific.com/doi/abs/10.1142/S0218202512500340|The Wigner-Fokker-Planck equation: stationary states and large time behavior]], Math. Mod. Methods Appl. Sc. **22**, 1250034 (2012)   * [[Anton Arnold]], I. Gamba, M.P. Gualdani, S. Mischler, C. Mouhot, C. Sparber, [[https://www.worldscientific.com/doi/abs/10.1142/S0218202512500340|The Wigner-Fokker-Planck equation: stationary states and large time behavior]], Math. Mod. Methods Appl. Sc. **22**, 1250034 (2012)
   * [[Nuno Costa Dias]], [[Maurice de Gosson]], [[Franz Luef]], and [[João Nuno Prata]], [[https://link.springer.com/article/10.1007/s11868-012-0054-9|Quantum Mechanics in Phase Space: The Schrodinger and the Moyal Representations]], J. Pseudodiff. Oper. Appl. **3**, 367 (2012)   * [[Nuno Costa Dias]], [[Maurice de Gosson]], [[Franz Luef]], and [[João Nuno Prata]], [[https://link.springer.com/article/10.1007/s11868-012-0054-9|Quantum Mechanics in Phase Space: The Schrodinger and the Moyal Representations]], J. Pseudodiff. Oper. Appl. **3**, 367 (2012)
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 === 2011 === === 2011 ===
 +  * Timothy M. Coffey, [[Robert Wyatt]], and Wm. C. Schieve, [[https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.107.230403|Reconstruction of the Time-Dependent Wave Function Exclusively from Position Data]], Phys. Rev. Lett. **107**, 230403 (2011)
 +  * K. Ma, [[Jian-Hua Wang]], Y. Yuan, [[http://iopscience.iop.org/article/10.1088/1674-1137/35/1/003|Wigner Function for the Dirac Oscillator in Spinor Space]], Chinese Physics C **35**, 11-15 (2011)
   * [[Nuno Costa Dias]], [[Maurice de Gosson]], [[Franz Luef]], and [[João Nuno Prata]], [[https://www.sciencedirect.com/science/article/pii/S0021782411000912|A Pseudo-Differential Calculus on Non-Standard Symplectic Space; Spectral and Regularity Results in Modulation Spaces]], J. Math. Pur. Appl. **96**, 423 (2011)   * [[Nuno Costa Dias]], [[Maurice de Gosson]], [[Franz Luef]], and [[João Nuno Prata]], [[https://www.sciencedirect.com/science/article/pii/S0021782411000912|A Pseudo-Differential Calculus on Non-Standard Symplectic Space; Spectral and Regularity Results in Modulation Spaces]], J. Math. Pur. Appl. **96**, 423 (2011)
   * [[Maurice de Gosson]], [[https://link.springer.com/article/10.1007/s11868-011-0023-8|A transformation property of the Wigner distribution under Hamiltonian symplectomorphisms]], J. Pseudo-Differ. Oper. Appl. **2**, 91 (2011)   * [[Maurice de Gosson]], [[https://link.springer.com/article/10.1007/s11868-011-0023-8|A transformation property of the Wigner distribution under Hamiltonian symplectomorphisms]], J. Pseudo-Differ. Oper. Appl. **2**, 91 (2011)
  
 === 2010 === === 2010 ===
 +  * R. Mack, J. P. Dahl, H. Moya-Cessa, W. T. Strunz, [[Reinhold Walser]], and [[Wolfgang Schleich]], [[https://journals.aps.org/pra/abstract/10.1103/PhysRevA.82.032119|Riemann ζ function from wave-packet dynamics]], Phys. Rev. A **82**, 032119 (2010)
 +  *[[Apostol Vourdas]], [[https://link.springer.com/article/10.1134/S1063778810020055|Wigner and Weyl functions for p-adic quantum mechanics]], Physics of atomic nuclei **73**, 237-241 (2010)
   * O. Brodier and [[Alfredo Miguel Ozorio de Almeida]], [[https://www.sciencedirect.com/science/article/abs/pii/S0375960110004007?via%3Dihub|Markovian evolution of Gaussian states in the semiclassical limit]], Phys. Lett. A **374**, 2315 (2010)   * O. Brodier and [[Alfredo Miguel Ozorio de Almeida]], [[https://www.sciencedirect.com/science/article/abs/pii/S0375960110004007?via%3Dihub|Markovian evolution of Gaussian states in the semiclassical limit]], Phys. Lett. A **374**, 2315 (2010)
   * [[Basil J. Hiley]], [[https://link.springer.com/article/10.1007/s10701-009-9320-y|On the Relationship Between the Wigner-Moyal and Bohm Approaches to Quantum Mechanics: A Step to a More General Theory?]], Found. Phys. **40**, 356 (2010)   * [[Basil J. Hiley]], [[https://link.springer.com/article/10.1007/s10701-009-9320-y|On the Relationship Between the Wigner-Moyal and Bohm Approaches to Quantum Mechanics: A Step to a More General Theory?]], Found. Phys. **40**, 356 (2010)
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 === 2000 === === 2000 ===
 +  * G. Giakasa, L.K. Stergioulas, and [[Apostol Vourdas]], [[https://www.sciencedirect.com/science/article/pii/S002192909900216X|Time-frequency analysis and filtering of kinematic signals with impacts using the Wigner function: accurate estimation of the second derivative]], Journal Biomech. **33**, 567-574 (2000)
   *  [[Anton Arnold]], H. Lange, P.F. Zweifel, [[https://aip.scitation.org/doi/10.1063/1.1318732|A discrete-velocity, stationary Wigner equation]], J. Math. Phys. **41**, 7167 (2000)   *  [[Anton Arnold]], H. Lange, P.F. Zweifel, [[https://aip.scitation.org/doi/10.1063/1.1318732|A discrete-velocity, stationary Wigner equation]], J. Math. Phys. **41**, 7167 (2000)
  
 === 1999 === === 1999 ===
 +  * S. Chountasis, [[Apostol Vourdas]], and C. Bendjaballah, [[https://journals.aps.org/pra/abstract/10.1103/PhysRevA.60.3467|Fractional fourier operators and generalized Wigner functions]], Physical Review A **60**, 3467 (1999)
 +  * S. Chountasis, L. K. Stergioulas, and [[Apostol Vourdas]], [[https://www.tandfonline.com/doi/abs/10.1080/09500349908231397|Quantum filtering of noise in the Wigner function]], Journal Mod. Optics **46**, 2131-2134 (1999)
   * [[Jan Naudts]], [[https://link.springer.com/article/10.1023/A:1026614130824|Off-Shell Relativistic Quantum Mechanics and Formulation of Dirac's Equation Using Characteristic Matrices]], Int. J. Theor. Phys. **38**, 431 (1999)   * [[Jan Naudts]], [[https://link.springer.com/article/10.1023/A:1026614130824|Off-Shell Relativistic Quantum Mechanics and Formulation of Dirac's Equation Using Characteristic Matrices]], Int. J. Theor. Phys. **38**, 431 (1999)
 +
 +=== 1998 ===
 +  * S. Chountasis and [[Apostol Vourdas]], [[https://journals.aps.org/pra/abstract/10.1103/PhysRevA.58.1794|Weyl and Wigner functions in an extended phase space formalism]], Physical Review A **58**, 1794-1798 (1998)
  
 === 1996 === === 1996 ===
Line 652: Line 735:
   * Nicolas Delfosse, Philippe Allard Guerin, Jacob Bian, and Robert Raussendorf, [[https://link.aps.org/doi/10.1103/PhysRevX.5.021003|Wigner Function Negativity and Contextuality in Quantum Computation on Rebits]], Phys. Rev. X **5**, 021003 (2015)   * Nicolas Delfosse, Philippe Allard Guerin, Jacob Bian, and Robert Raussendorf, [[https://link.aps.org/doi/10.1103/PhysRevX.5.021003|Wigner Function Negativity and Contextuality in Quantum Computation on Rebits]], Phys. Rev. X **5**, 021003 (2015)
  
-==== Numerical Methods for Wigner Equation ==== +==== Numerical Methods ====  
 +=== 2020 === 
 +  * [[Yoshitaka Tanimura]], [[https://aip.scitation.org/doi/10.1063/5.0011599|Numerically “exact” approach to open quantum dynamics: The hierarchical equations of motion (HEOM)]], J. Chem. Phys. **153**, 020901 (2020) 
 === 2019 === === 2019 ===
   * Zhenzhu Chen, [[Sihong Shao]], and [[Wei Cai]], [[https://www.sciencedirect.com/science/article/pii/S0021999119304553|A high order efficient numerical method for 4-D Wigner equation of quantum double-slit interferences]], J. Comput. Phys. **396**, 54 (2019)   * Zhenzhu Chen, [[Sihong Shao]], and [[Wei Cai]], [[https://www.sciencedirect.com/science/article/pii/S0021999119304553|A high order efficient numerical method for 4-D Wigner equation of quantum double-slit interferences]], J. Comput. Phys. **396**, 54 (2019)
 +  * Lukas Schulz and [[Dirk Schulz]], [[https://ieeexplore.ieee.org/document/8794705|Complex Absorbing Potential Formalism Accounting for Open Boundary Conditions Within the Wigner Transport Equation]], IEEE Trans. Nanotechnology **18**, 830 (2019)
   * [[Orazio Muscato]] and Vincenza Di Stefano, [[https://content.sciendo.com/view/journals/caim/10/1/article-p20.xml|Wigner Monte Carlo simulation without discretization error of the tunneling rectangular barrier]], Commun. Appl. Ind. Math. **10**, 20 (2019)   * [[Orazio Muscato]] and Vincenza Di Stefano, [[https://content.sciendo.com/view/journals/caim/10/1/article-p20.xml|Wigner Monte Carlo simulation without discretization error of the tunneling rectangular barrier]], Commun. Appl. Ind. Math. **10**, 20 (2019)
   * [[Orazio Muscato]] and Wolfgang Wagner, [[https://www.aimsciences.org/article/doi/10.3934/krm.2019003|A stochastic algorithm without time discretization error for the Wigner equation]], Kin. Rel. Mod. **12**, 59 (2019)   * [[Orazio Muscato]] and Wolfgang Wagner, [[https://www.aimsciences.org/article/doi/10.3934/krm.2019003|A stochastic algorithm without time discretization error for the Wigner equation]], Kin. Rel. Mod. **12**, 59 (2019)
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 === 2018 === === 2018 ===
   * A S Larkin, V S Filinov and V E Fortov [[https://doi.org/10.1088/1751-8121/aa98d0|Peculiarities of the momentum distribution functions of strongly correlated charged fermions]], J. Phys. A: Math. Theor. **51**, 035002 (2018)   * A S Larkin, V S Filinov and V E Fortov [[https://doi.org/10.1088/1751-8121/aa98d0|Peculiarities of the momentum distribution functions of strongly correlated charged fermions]], J. Phys. A: Math. Theor. **51**, 035002 (2018)
 +  * Lukas Schulz and [[Dirk Schulz]], [[https://ieeexplore.ieee.org/abstract/document/8464085|Numerical Analysis of the Transient Behavior of the Non-Equilibrium Quantum Liouville Equation]], IEEE Trans. Nanotechnology **17**, 1197(2018)
  
 === 2017 === === 2017 ===
Line 672: Line 759:
   * [[Orazio Muscato]] and Vincenza Di Stefano, [[https://iopscience.iop.org/article/10.1088/1742-6596/906/1/012011/meta|Efficient Monte Carlo-based algorithms for the Wigner transport equation]], J. Phys. Conf. Ser. **906**, 012011 (2017)   * [[Orazio Muscato]] and Vincenza Di Stefano, [[https://iopscience.iop.org/article/10.1088/1742-6596/906/1/012011/meta|Efficient Monte Carlo-based algorithms for the Wigner transport equation]], J. Phys. Conf. Ser. **906**, 012011 (2017)
   * Andrea Thomann and Alfio Borzì, [[https://doi.org/10.1002/num.22072|Stability and accuracy of a pseudospectral scheme for the Wigner function equation]], Numer. Meth. Part. Differ. Equat. **33**, 62 (2017)   * Andrea Thomann and Alfio Borzì, [[https://doi.org/10.1002/num.22072|Stability and accuracy of a pseudospectral scheme for the Wigner function equation]], Numer. Meth. Part. Differ. Equat. **33**, 62 (2017)
 +  * Khuram Shahzad Khalid, Lukas Schulz and [[Dirk Schulz]], [[https://ieeexplore.ieee.org/abstract/document/8023854|Self-Energy Concept for the Numerical Solution of the Liouville-von Neumann Equation]], IEEE Trans. Nanotechnology **16**, 1053 (2017)
  
 === 2016 === === 2016 ===
   * Yunfeng Xiong, Zhenzhu Chen, and [[Sihong Shao]], [[https://doi.org/10.1137/15M1051373|An advective-spectral-mixed method for time-dependent many-body Wigner simulations]], SIAM J. Sci. Comput **38**, B491 (2016)   * Yunfeng Xiong, Zhenzhu Chen, and [[Sihong Shao]], [[https://doi.org/10.1137/15M1051373|An advective-spectral-mixed method for time-dependent many-body Wigner simulations]], SIAM J. Sci. Comput **38**, B491 (2016)
   * [[Orazio Muscato]] and Wolfgang Wagner, [[https://epubs.siam.org/doi/10.1137/16M105798X|A Class of Stochastic Algorithms for the Wigner Equation]], SIAM J. Sci. Comp. **38**, A1483 (2016)   * [[Orazio Muscato]] and Wolfgang Wagner, [[https://epubs.siam.org/doi/10.1137/16M105798X|A Class of Stochastic Algorithms for the Wigner Equation]], SIAM J. Sci. Comp. **38**, A1483 (2016)
 +  * Lukas Schulz and [[Dirk Schulz]], [[https://ieeexplore.ieee.org/document/7501465|Application of a slowly varying Envelope Function onto the Analysis of the Wigner Transport Equation]], IEEE Trans. Nanotechnology **15**, 801 (2016)
 +  * [[Dirk Schulz]] and Azhar Mahmood, [[https://ieeexplore.ieee.org/document/7339425|Approximation of a Phase Space Operator for the Numerical Solution of the Wigner Equation]], IEEE J. Quantum Electron. **52**,  8700109 (2016)
  
 === 2015 === === 2015 ===
publications.1577111314.txt.gz · Last modified: 2019/12/23 14:28 by weinbub

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