Title
Time-dependent variational-principles and conservation-laws in wavepacket dynamicsTime-dependent variational-principles and conservation-laws in wavepacket dynamics
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Research group
Modeling Of Systems and Internet Communication (MOSAIC)
Department of Mathematics - Computer Sciences
Publication type
article
Publication
London,
Subject
Physics
Source (journal)
Journal of physics: A: mathematical and general. - London, 1968 - 2006
Volume/pages
22(1989):20, p. 4395-4408
ISSN
0305-4470
ISI
A1989AW49000016
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
A criterion for the equivalence of time-dependent variational principles in current use in chemistry and physics is demonstrated. Conservation laws are considered and it is shown that under certain conditions quantal conservation laws also hold for the time evolution derived from the variational principle. The formalism is applied to an N-dimensional spherical Gaussian wavepacket. A numerical example for the three-dimensional spherical Gaussian potential well is worked out to illustrate the dynamics and the role of conservation laws.
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