Numerical approximation of the Schrödinger equation with the electromagnetic field by the Hagedorn wave packets

DOI10.1016/J.JCP.2014.04.041zbMath1349.78078OpenAlexW2056972996MaRDI QIDQ349349

Zhennan Zhou

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.2014.04.041

zbMATH Keywords

vector potentialGalerkin approximationsemi-classical Schrödinger equationHagedorn wave packets

Mathematics Subject Classification ID

Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (6)

Hagedorn wavepackets and Schrödinger equation with time-dependent, homogeneous magnetic field ⋮ Hamiltonian dynamics of semiclassical Gaussian wave packets in electromagnetic potentials ⋮ 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 ⋮ A high-order integrator for the Schrödinger equation with time-dependent, homogeneous magnetic field

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