On the approximate calculation of eigenvalues with special reference to the helium atom

B. F. Gray*

*Corresponding author for this work

Research output: Contribution to journalArticle


A method is developed for treating the error in the energy of a variation function as a perturbation, the variation function serving to describe the "unperturbed state." An effective potential is defined from the variation function, and comparison of this with the correct potential for the helium atom gives useful information about the behavior of the variation functions as the electronic separation approaches zero. In the second section, iterative methods of improving a variational wave function without increasing the number of parameters are discussed and the conditions under which they will be applicable are examined.

Original languageEnglish
Pages (from-to)272-275
Number of pages4
JournalThe Journal of Chemical Physics
Issue number2
Publication statusPublished - 1958
Externally publishedYes


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