An Efficient Time-splitting Method for the Ehrenfest Dynamics

DOI10.1137/17M1112789zbMath1426.35194arXiv1701.05941MaRDI QIDQ4643821

Di Fang, Christof Sparber, Shih Jin

Publication date: 29 May 2018

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.05941

zbMATH Keywords

semiclassical limitWigner transformtime-splittingEhrenfest dynamics

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Vlasov equations (35Q83) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items

Observable Error Bounds of the Time-Splitting Scheme for Quantum-Classical Molecular Dynamics, Computing quantum dynamics in the semiclassical regime, Asymptotic-preserving schemes for multiscale physical problems, Super-resolution of time-splitting methods for the Dirac equation in the nonrelativistic regime, On the convergence of time splitting methods for quantum dynamics in the semiclassical regime, Uniform Error Bounds of Time-Splitting Methods for the Nonlinear Dirac Equation in the Nonrelativistic Regime without Magnetic Potential, Evolution of hybrid quantum-classical wavefunctions, Compact Exponential Conservative Approaches for the Schrödinger Equation in the Semiclassical Regimes

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