New anallytic approximations based on the Magnus expansion
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Títol
New anallytic approximations based on the Magnus expansionData de publicació
2011-09Editor
Springer Science+Business Media, LLCISSN
0259-9791; 1572-8897Cita bibliogràfica
Journal of mathematical chemistry (Sep. 2011), vol. 49, no. 8, 1741-1758Tipus de document
info:eu-repo/semantics/articleVersió
info:eu-repo/semantics/sumittedVersionParaules clau / Matèries
Resum
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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