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Title
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On the equivalence of time-dependent variational-principles
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Author
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Abstract
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| 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. |
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Language
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English
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Source (journal)
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Chemical physics letters. - Amsterdam, 1967, currens
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Publication
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Amsterdam
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1988
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ISSN
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0009-2614
[print]
1873-4448
[online]
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DOI
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10.1016/0009-2614(88)80380-4
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Volume/pages
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149
:5-6
(1988)
, p. 547-550
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ISI
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A1988P910400019
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Full text (Publisher's DOI)
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Full text (publisher's version - intranet only)
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