On the classical limit of a time-dependent self-consistent field system: analysis and computation

DOI10.3934/KRM.2017011zbMath1352.35142arXiv1406.3810OpenAlexW2963869985MaRDI QIDQ728183

Zhennan Zhou, Christof Sparber, Shih Jin

Publication date: 19 December 2016

Published in: Kinetic and Related Models (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.3810

zbMATH Keywords

quantum mechanicsself-consistent field methodclassical limitWigner transformtime-splitting algorithmEhrenfest method

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Vlasov equations (35Q83) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (8)

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 ⋮ On the Cauchy problem for the Hartree approximation in quantum dynamics ⋮ Compact exponential energy-preserving method for the Schrödinger equation in the semiclassical regime ⋮ An Efficient Time-splitting Method for the Ehrenfest Dynamics ⋮ Compact Exponential Conservative Approaches for the Schrödinger Equation in the Semiclassical Regimes ⋮ Separation of scales: dynamical approximations for composite quantum systems*

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