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publications [2020/01/31 14:47] – [Engineering (Acoustics, Electronics, Seismology, Signals, etc.)] weinbub | publications [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 ==== |
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| === 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) |
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| === 2020 === |
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| * [[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) |
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=== 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) | * 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) | * 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) |
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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) |
* 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) |
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=== 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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=== 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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=== 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) |
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=== 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) |
==== 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) |
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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) |
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==== Engineering (Acoustics, Electronics, Seismology, Signals, etc.) ==== | ==== Engineering (Acoustics, Electronics, Seismology, Signals, etc.) ==== |
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| === 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) |
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=== 2019 === | === 2019 === |
==== 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) |
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=== 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) |
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=== 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) |
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=== 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) |
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=== 1996 === | === 1996 === |
* 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) |
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==== 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) |