A comparison of numerical approaches to the solution of the time-dependent Schrödinger equation in one dimension

DOI10.1016/j.cpc.2019.05.019OpenAlexW2953490863MaRDI QIDQ6045768

H. Gharibnejad, M. Leadingham, H. J. Schmale, Barry I. Schneider

Publication date: 12 May 2023

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2019.05.019

zbMATH Keywords

time-dependent Schrödinger equationlaser-atom interaction1-D atomic hydrogenfinite-element gridsnumerical methods comparisons

Mathematics Subject Classification ID

Numerical analysis (65-XX) Optics, electromagnetic theory (78-XX)

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Cites Work

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• The iterative calculation of a few of the lowest eigenvalues and corresponding eigenvectors of large real-symmetric matrices
• When will discrete eigenstates be nondegenerate?
• A Parallel Method for Tridiagonal Equations
• Iterative Solution Methods
• On Krylov Subspace Approximations to the Matrix Exponential Operator

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