Publication
Title
On the equivalence of time-dependent variational-principles
Author
Abstract
We consider the relationship between three variational principles which generate approximate time evolution in a parametrized manifold of wavefunctions. These are: the McLachlan variational principle, the Dirac-Frenkel variational principle and the time-dependent variational principle. We show that if the manifold can be parametrized by pairs of complementary parameters, the abovementioned principles are equivalent. The condition of complementarity, which is a sufficient one, is demonstrated to be satisfied in a number of important applications. However, a case of non-equivalence in the recent literature warns against liberal assumptions about the equivalence of the time-dependent variational principles.
Language
English
Source (journal)
Chemical physics letters. - Amsterdam
Publication
Amsterdam : 1988
ISSN
0009-2614
Volume/pages
149:5-6(1988), p. 547-550
ISI
A1988P910400019
Full text (Publisher's DOI)
Full text (publisher's version - intranet only)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identification
Creation 26.03.2015
Last edited 19.10.2017
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