A semi-Lagrangian time splitting method for the Schrödinger equation with vector potentials

DOI10.4310/CIS.2013.v13.n3.a1zbMath1305.35122MaRDI QIDQ2253762

Zhennan Zhou, Shih Jin

Publication date: 12 February 2015

Published in: Communications in Information and Systems (Search for Journal in Brave)

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) NLS equations (nonlinear Schrödinger equations) (35Q55) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Electromagnetic theory (general) (78A25) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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Uses Software

• Matlab