Numerical methods for the Wigner equation with unbounded potential

DOI10.1007/s10915-018-0853-0zbMath1417.81125arXiv1712.03019OpenAlexW3105418050WikidataQ129095468 ScholiaQ129095468MaRDI QIDQ2000047

Zhenzhu Chen, Sihong Shao, Yunfeng Xiong

Publication date: 27 June 2019

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.03019

zbMATH Keywords

Wigner equationuncertainty principlespectral methodanharmonic oscillatorquantum dynamicsPöschl-Teller potentialunbounded potentialdouble-wellMoyal expansion

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) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) 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)

Related Items (5)

Application of Approximate Maximum-Entropy Moment Closure to the Wigner Equation ⋮ Optimization modeling and simulating of the stationary Wigner inflow boundary value problem ⋮ A high order efficient numerical method for 4-D Wigner equation of quantum double-slit interferences ⋮ Branching Random Walk Solutions to the Wigner Equation ⋮ A hybrid sinc-Galerkin/finite-difference method for the time-dependent Wigner equation

Uses Software

• SLEDGE

Cites Work

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