A hybrid sinc-Galerkin/finite-difference method for the time-dependent Wigner equation

DOI10.1016/j.cam.2022.114152zbMath1487.81086OpenAlexW4210944842WikidataQ113878736 ScholiaQ113878736MaRDI QIDQ2114423

Tiao Lu, Weitong Zhang, Haiyan Jiang

Publication date: 15 March 2022

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2022.114152

zbMATH Keywords

finite difference methodWigner equationsinc-Galerkin methodquantum tunneling

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Transport processes in time-dependent statistical mechanics (82C70) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Mathematical modeling or simulation for problems pertaining to quantum theory (81-10)

Related Items (1)

Numerical Study of Transient Wigner–Poisson Model for RTDs: Numerical Method and Its Applications

Uses Software

• Chebfun

Cites Work

• Unnamed Item
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• Preface
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