A comparison of different propagation schemes for the time dependent Schrödinger equation
type: Item
instance of: scholarly article
title: A comparison of different propagation schemes for the time dependent Schrödinger equation
zbMATH Open document ID: 0731.65110
DOI: 10.1016/0021-9991(91)90137-A
author: N. E. Zubov
published in: Journal of Computational Physics
publication date: 1991-01-01T00:00:00Z
review text: A comparison of three widely used time propagation algorithms for the time-dependent Schrödinger equation is presented. A typical evolution problem is chosen to demonstrate the efficiency and accuracy of the various methods on a numerical grid using a spatial representation for scattering and bound state evolution. A new method is also introduced which is based upon a low-order Lanczos technique. This method appears to offer an accurate and flexible alternative to the existing algorithms.
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M50
Mathematics Subject Classification ID: 81Q05
Mathematics Subject Classification ID: 35Q55
zbMATH DE Number: 4209534
zbMATH Keywords: comparison
zbMATH Keywords: time propagation algorithms
zbMATH Keywords: time-dependent Schrödinger equation
zbMATH Keywords: evolution problem
zbMATH Keywords: numerical grid
zbMATH Keywords: scattering
zbMATH Keywords: low-order Lanczos technique
Wikidata QID: Q62273034
MaRDI profile type: Publication
cites work: Solution of the Schrödinger equation by a spectral method
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description: scientific article; zbMATH DE number 4209534