半经典 Wigner 方程的近似级数解
数学物理
2017-05-22 v1 math.MP
摘要
通过对 Schrödinger 本征函数的 WKB 近似进行均匀化，我们提出了一种半经典 Wigner 方程的新的近似级数解。
引用
@article{arxiv.1705.06754,
title = {An approximate series solution of the semiclassical Wigner equation},
author = {Konstantina-Stavroula Giannopoulou and George N. Makrakis},
journal= {arXiv preprint arXiv:1705.06754},
year = {2017}
}
备注
29 pages
相关论文
查看更多相关论文 →
数学物理 · 物理学
Construction of an approximate solution of the Wigner equation by uniformization of WKB functions
Konstantina-Stavroula Giannopoulou
2017-06-13
量子物理 · 物理学
Explicit summation of the constituent WKB series and new approximate wave functions
Vladimir V. Kudryashov, Yulian V. Vanne
2007-05-23
量子物理 · 物理学
Quasi-uniform approximation for the radial Schr\"odinger equation with power-law potentials
V. V. Kudryashov, Yu. V. Vanne
2007-05-23
数学物理 · 物理学
Perturbation solutions of the semiclassical Wigner equation
E. K. Kalligiannaki, G. N. Makrakis
2016-11-25
量子物理 · 物理学
The Wentzel - Kramers - Brillouin approximation method applied to the Wigner function
Jaromir Tosiek, Ruben Cordero, Francisco J. Turrubiates
2016-07-18
其他凝聚态物理 · 物理学
Accuracy of Semiclassics: Comparative Analysis of WKB and Instanton Approaches
V. A. Benderskii, E. V. Vetoshkin, E. I. Kats
2007-05-23
数值分析 · 数学
WKB-method for the 1D Schr\"odinger equation in the semi-classical limit: enhanced phase treatment
A. Arnold, C. Klein. B. Ujvari
2019-11-05
混沌动力学 · 物理学
Semiclassical analysis of Wigner functions
Gregor Veble, Marko Robnik, Valery Romanovski
2009-11-07
偏微分方程分析 · 数学
Eigenvalue spacing for 1D singular Schr\"odinger operators
Luc Hillairet, Jeremy L. Marzuola
2022-03-10
无序系统与神经网络 · 物理学
ERS approximation for solving Schr\"odinger's equation and applications
Hichem Eleuch, Michael Hilke
2019-10-02
统计力学 · 物理学
A simple semiclassical approach to Kramers' problem
Jyotipratim Ray Chaudhuri, Bidhan Chandra Bag, Deb Shankar Ray
2009-10-31
混沌动力学 · 物理学
On the semiclassical expansion for 1-dim $x^N$ potentials
Marko Robnik, Valery Romanovski
2009-10-31
数学物理 · 物理学
The general 1D Schr\"odinger equation as an exactly solvable problem
André Voros
2007-05-23
可精确求解与可积系统 · 物理学
The WKB approximation of semiclassical eigenvalues of the Zakharov-Shabat problem
Yeongjoh Kim, Long Lee, Gregory D. Lyng
2015-06-17
数学物理 · 物理学
"Exact WKB integration'' of polynomial 1D Schr\"odinger (or Sturm-Liouville) problem
A. Voros
2007-05-23
量子物理 · 物理学
Semi-Spectral Method for the Wigner equation
Oliver Furtmaier, Sauro Succi, Miller Mendoza
2015-12-09
量子物理 · 物理学
Alternating Wentzel-Kramers-Brillouin Approximation to the Schr\"{o}dinger Equation: Rediscover the Bremmers series and beyond
Yu-An Tsai, Sheng D. Chao
2025-04-01
量子物理 · 物理学
Semiclassical approximation of the Wigner function for the canonical ensemble
Marcos Gil de Oliveira, Alfredo Miguel Ozorio de Almeida
2023-08-31
偏微分方程分析 · 数学
Semiclassical solutions of the nonlinear Schr\"odinger equation
Alexander Shapovalov, A. Yu. Trifonov
2015-06-26
统计力学 · 物理学
A simple method to obtain the equilibrium solution of Wigner-Boltzmann Equation with all higher order quantum corrections
Anirban Bose, M. S. Janaki
2015-06-19
数学物理 · 物理学
Uniform Semiclassical Approximation for the Wigner $6j$ Symbol in Terms of Rotation Matrices
Robert G. Littlejohn, Liang Yu
2015-05-13
偏微分方程分析 · 数学
Coarse-scale representations and smoothed Wigner transforms
Agissilaos G. Athanassoulis, Norbert J. Mauser, Thierry Paul
2015-05-19
量子物理 · 物理学
Semiclassical wave equation and exactness of the WKB method
M. N. Sergeenko
2012-07-02
数学物理 · 物理学
Uniform analytic approximation of Wigner rotation matrices
Scott E. Hoffmann
2018-03-14
数值分析 · 数学
Optimally truncated WKB approximation for the 1D stationary Schr\"odinger equation in the highly oscillatory regime
Anton Arnold, Christian Klein, Jannis Körner, Jens Markus Melenk
2024-08-27