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Improved quantum theory of many-electron systems. I. Construction of eigenfunctions of S-^2 which satisfy Pauli's principle

Goddard, William A., III (1967) Improved quantum theory of many-electron systems. I. Construction of eigenfunctions of S-^2 which satisfy Pauli's principle. Physical Review, 157 (1). pp. 73-80. ISSN 0031-899X. http://resolver.caltech.edu/CaltechAUTHORS:GODDpr67a

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Abstract

A general method of obtaining many-electron wave functions which are eigenfunctions of S-^2 and which also satisfy Pauli's principle is developed. This method is based on the properties of the irreducible units of the group algebra of the symmetric group. Using this method, expansions of the exact wave function are found which will in succeeding articles form the basis of a powerful method of obtaining accurate and quite useful many-electron wave functions for atoms, molecules, and solids.


Item Type:Article
Additional Information:©1967 The American Physical Society. Received 15 December 1965; revised 30 September 1966. We wish to express our sincere appreciation to Professor Sunney I. Chan and to Dr. Russell M. Pitzer for their helpful discussions and instructive criticisms of the manuscript, to Professor Pol Duwez for encouragement, and to Dr. Paul Pietrokowsky for inspiration.
Record Number:CaltechAUTHORS:GODDpr67a
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:GODDpr67a
Alternative URL:http://dx.doi.org/10.1103/PhysRev.157.73
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:3117
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:16 May 2006
Last Modified:26 Dec 2012 08:52

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