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publications [2020/03/07 10:54] – [Classical, Semiclassical and Quantum Physics] weinbub | publications [2021/03/02 08:16] – [Engineering (Acoustics, Electronics, Seismology, Signals, etc.)] 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) |
==== Classical, Semiclassical and Quantum Physics ==== | ==== Classical, Semiclassical and Quantum Physics ==== |
=== 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) | * 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/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) |
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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) | * 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) |
==== 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 === |
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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) |
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| === 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) |