New anallytic approximations based on the Magnus expansion
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Title
New anallytic approximations based on the Magnus expansionDate
2011-09Publisher
Springer Science+Business Media, LLCISSN
0259-9791; 1572-8897Bibliographic citation
Journal of mathematical chemistry (Sep. 2011), vol. 49, no. 8, 1741-1758Type
info:eu-repo/semantics/articleVersion
info:eu-repo/semantics/sumittedVersionSubject
Abstract
The Magnus expansion is a frequently used tool to get approximate analytic solutions of time-dependent linear ordinary differential equations and in particular the Schrödinger equation in quantum mechanics. However, ... [+]
The Magnus expansion is a frequently used tool to get approximate analytic solutions of time-dependent linear ordinary differential equations and in particular the Schrödinger equation in quantum mechanics. However, the complexity of the expansion restricts its use in practice only to the first terms. Here we introduce new and more accurate analytic approximations based on the Magnus expansion involving only univariate integrals which also shares with the exact solution its main qualitative and geometric properties [-]
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© Springer Science+Business Media, LLC 2011
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- MAT_Articles [751]