Branching Random Walk Solutions to the Wigner Equation

DOI10.1137/19M1272408zbMath1448.81419arXiv1907.01897MaRDI QIDQ4970508

Sihong Shao, Yunfeng Xiong

Publication date: 14 October 2020

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.01897

zbMATH Keywords

Wigner equationvariance reductionbranching random walknonlocal operatorsign problemstationary phase approximation

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Applications of branching processes (60J85) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Analysis of variance and covariance (ANOVA) (62J10) Asymptotic expansions of solutions to ordinary differential equations (34E05) Stochastic particle methods (65C35)

Related Items (1)

The Wigner function of ground state and one-dimensional numerics

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