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publications [2020/03/07 11:57] – [Mathematical and Theoretical Physics] weinbub | publications [2020/11/11 09:54] – [Numerical Methods for Wigner Equation] weinbub |
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==== 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) |
* 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) |