A hybrid sinc-Galerkin/finite-difference method for the time-dependent Wigner equation
Jiang, Haiyan 1Lu, Tiao 2Zhang, Weitong2
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作者信息
1. Beijing Inst Technol
2. Peking Univ
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Abstract
The Wigner equation is a remarkable tool to model complex problems of quantum physics in phase space. The main objective of this paper is to propose a new hybrid algorithm for the time-dependent Wigner equation. This scheme is based on sinc-Galerkin and finite difference approximations and is moderately simple but highly efficient. Error estimation, stability, and convergence are also investigated concretely. Numerical experiments validate the theoretical results and present the reliability and efficiency of the proposed algorithm to simulate quantum effects. (C) 2022 Elsevier B.V. All rights reserved.
NSTL
Elsevier