An Advective-Spectral-Mixed Method for Time-Dependent Many-Body Wigner Simulations

DOI10.1137/15M1051373zbMath1382.65348arXiv1602.08853OpenAlexW2963761042MaRDI QIDQ5739952

Yunfeng Xiong, Zhenzhu Chen, Sihong Shao

Publication date: 7 July 2016

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.08853

zbMATH Keywords

Chebyshev spectral methodsemi-Lagrangian methodquantum transportmany-body Wigner equationPauli exclusion principleAdams multistep scheme

Mathematics Subject Classification ID

Related Items (11)

The Wigner function of ground state and one-dimensional numerics ⋮ A Characteristic-Spectral-Mixed Scheme for Six-Dimensional Wigner–Coulomb Dynamics ⋮ An Efficient Adaptive Monte Carlo Approach for Multidimensional Quantum Mechanics ⋮ Numerical Study of Transient Wigner–Poisson Model for RTDs: Numerical Method and Its Applications ⋮ 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 ⋮ The Wigner Branching Random Walk: Efficient Implementation and Performance Evaluation ⋮ Numerical methods for the Wigner equation with unbounded potential ⋮ Branching Random Walk Solutions to the Wigner Equation ⋮ Wigner Monte Carlo simulation without discretization error of the tunneling rectangular barrier ⋮ A hybrid sinc-Galerkin/finite-difference method for the time-dependent Wigner equation

Uses Software

• PSPLINE

Cites Work

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