Application of schwarz's inequality to perturbation theory

B. F. Gray

Research output: Contribution to journalArticleResearchpeer-review

Abstract

It is shown by use of the variation theorem, that under fairly general conditions the energy given to an odd order of approximation by perturbation theory is an upper bound to the correct energy. Under less general conditions it is shown that for a positive definite perturbation the energy given by an even-order approximation is a lower bound and for a negative definitive perturbation it is again an upper bound. Some applications are discussed.

LanguageEnglish
Pages276-277
Number of pages2
JournalThe Journal of Chemical Physics
Volume29
Issue number2
Publication statusPublished - 1958
Externally publishedYes

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perturbation theory
perturbation
approximation
energy
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Application of schwarz's inequality to perturbation theory. / Gray, B. F.

In: The Journal of Chemical Physics, Vol. 29, No. 2, 1958, p. 276-277.

Research output: Contribution to journalArticleResearchpeer-review

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