On the convergence of time splitting methods for quantum dynamics in the semiclassical regime

DOI10.1007/s10208-020-09470-zzbMath1471.65038arXiv1906.03546OpenAlexW3040128945MaRDI QIDQ2040450

François Golse, Shih Jin, Thierry Paul

Publication date: 14 July 2021

Published in: Foundations of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.03546

zbMATH Keywords

evolutionary equationsWasserstein distanceexponential operator splitting methodstime-dependent Schrödinger equations

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Numerical solutions to equations with linear operators (65J10) Numerical solutions to abstract evolution equations (65J08)

Related Items

Global-in-time semiclassical regularity for the Hartree–Fock equation ⋮ 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 ⋮ Applications of optimal transportation in the natural sciences. Abstracts from the workshop held February 21--27, 2021 (online meeting) ⋮ The Random Batch Method for N-Body Quantum Dynamics ⋮ On a neural network approach for solving potential control problem of the semiclassical Schrödinger equation ⋮ Time dependent quantum perturbations uniform in the semiclassical regime ⋮ On quantum Sobolev inequalities ⋮ Time complexity analysis of quantum algorithms via linear representations for nonlinear ordinary and partial differential equations ⋮ Semiclassical evolution with low regularity

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