Numerical methods for solving time-dependent quantum-mechanical problems with applications

DOI10.1016/0021-9991(82)90113-9zbMath0485.65058OpenAlexW2043175821MaRDI QIDQ1164390

Leslie N. Smith, Stuart D. Augustin, Herschel Rabitz

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0021-9991(82)90113-9

zbMATH Keywords

HamiltonianSchrödinger equationpredictor-corrector type methodpiecewise Magnus solutionrotating waves functionsstandard Gear package

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Ordinary differential operators (34L99)

Uses Software

• DIFSUB
• GEAR

Cites Work

• Unnamed Item
• An Efficient Numerical Method for Highly Oscillatory Ordinary Differential Equations
• Nineteen Dubious Ways to Compute the Exponential of a Matrix
• On the exponential solution of differential equations for a linear operator

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