The Gaussian wave packet transform: efficient computation of the semi-classical limit of the Schrödinger equation. II: Multidimensional case

DOI10.1016/j.jcp.2013.09.023zbMath1349.65400OpenAlexW2094160749MaRDI QIDQ348545

Peter Smereka, Giovanni Russo

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2013.09.023

zbMATH Keywords

Schrödinger equationsplitting methodssemi-classical limitFourier-spectral methodsGaussian wave packets

Mathematics Subject Classification ID

Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (5)

An improved semi-Lagrangian time splitting spectral method for the semi-classical Schrödinger equation with vector potentials using NUFFT ⋮ Gaussian wave packet transform based numerical scheme for the semi-classical Schrödinger equation with random inputs ⋮ The Gaussian Wave Packet Transform for the Semi-Classical Schrödinger Equation with Vector Potentials ⋮ Stiff convergence of force-gradient operator splitting methods ⋮ Asymptotic approximations for the phase space Schrödinger equation

Cites Work

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• The Gaussian wave packet transform: efficient computation of the semi-classical limit of the Schrödinger equation. I: Formulation and the one dimensional case
• Fast Gaussian wavepacket transforms and Gaussian beams for the Schrödinger equation
• Mathematical and computational methods for semiclassical Schrödinger equations
• Computing Semiclassical Quantum Dynamics with Hagedorn Wavepackets
• Error estimates for Gaussian beam superpositions
• Semi-Eulerian and High Order Gaussian Beam Methods for the Schrödinger Equation in the Semiclassical Regime

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