Variational Principles for Expectations

Autor: Sanford Aranoff, Jerome K. Percus
Rok vydání: 1968
Předmět:
Zdroj: Physical Review. 166:1255-1262
ISSN: 0031-899X
DOI: 10.1103/physrev.166.1255
Popis: 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.
Databáze: OpenAIRE