Variational principles for expectations

Sanford Aranoff, Jerome Percus

Research output: Contribution to journalArticle

Abstract

Variational principles for expectation values of physical quantites other than the energy are derived. The expressions implicitly require Green's-function estimations, and higher-order corrections are available. One principle involves a subsidiary minimization, and the other involves the difference between two quantities which are minimum at the stationary point; consequently, numerical computations can be made with both of these principles. As a simple example, the mean-square radius of the hydrogen atom for an incorrect wave function is corrected, with excellent results. Application is also made to the meansquare radius of a model triton.

Original languageEnglish (US)
Pages (from-to)1255-1262
Number of pages8
JournalPhysical Review
Volume166
Issue number5
DOIs
StatePublished - 1968

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variational principles
subsidiaries
radii
hydrogen atoms
Green's functions
wave functions
optimization
energy

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Variational principles for expectations. / Aranoff, Sanford; Percus, Jerome.

In: Physical Review, Vol. 166, No. 5, 1968, p. 1255-1262.

Research output: Contribution to journalArticle

Aranoff, S & Percus, J 1968, 'Variational principles for expectations', Physical Review, vol. 166, no. 5, pp. 1255-1262. https://doi.org/10.1103/PhysRev.166.1255
Aranoff, Sanford ; Percus, Jerome. / Variational principles for expectations. In: Physical Review. 1968 ; Vol. 166, No. 5. pp. 1255-1262.
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