A high-order integrator for the Schrödinger equation with time-dependent, homogeneous magnetic field

DOI10.5802/smai-jcm.69zbMath1462.81078OpenAlexW3131036851MaRDI QIDQ2023445

Oliver Rietmann, Vasile Gradinaru

Publication date: 3 May 2021

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

Full work available at URL: https://doi.org/10.5802/smai-jcm.69

zbMATH Keywords

numerical methodmagnetic fieldLie algebraLie groupdiscrete Fourier transformsplittingconvergence ratequantum mechanicstime-dependent Schrödinger equation

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Applications of Lie (super)algebras to physics, etc. (17B81) Numerical methods for discrete and fast Fourier transforms (65T50) Many-body theory; quantum Hall effect (81V70) Time-dependent Schrödinger equations and Dirac equations (35Q41) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items

Hagedorn wavepackets and Schrödinger equation with time-dependent, homogeneous magnetic field

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