Variational principles for expectations

Sanford Aranoff, Jerome K. Percus

Research output: Contribution to journalArticlepeer-review


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
Issue number5
StatePublished - 1968

ASJC Scopus subject areas

  • General Physics and Astronomy


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