An approximate series solution of the semiclassical Wigner equation
Konstantina-Stavroula Giannopoulou, George N. Makrakis
TL;DR
This paper introduces a novel approximate series method for solving the semiclassical Wigner equation, utilizing uniformized WKB approximations of Schrödinger eigenfunctions to improve solution accuracy.
Contribution
It presents a new series solution approach for the semiclassical Wigner equation based on uniformization of WKB eigenfunction approximations, advancing analytical techniques in quantum phase space.
Findings
Provides a new analytical series solution method.
Improves approximation accuracy for the semiclassical Wigner equation.
Bridges WKB methods with phase space formulations.
Abstract
We propose a new approximate series solution of the semiclassical Wigner equation by uniformization of WKB approximations of the Schr\"odinger eigenfunctions.
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Taxonomy
TopicsQuantum Mechanics and Non-Hermitian Physics · Quantum chaos and dynamical systems · Nonlinear Photonic Systems