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Improved quantum theory of many-electron systems. II. The basic method

Goddard, William A., III (1967) Improved quantum theory of many-electron systems. II. The basic method. Physical Review, 157 (1). pp. 81-93. ISSN 0031-899X. http://resolver.caltech.edu/CaltechAUTHORS:GODDpr67b

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Abstract

A general method of obtaining accurate and useful many-electron wave functions for atoms and molecules is developed. The method involves the proper optimization of a many-electron function which is an eigen-function of total spin and which satisfies Pauli's principle. The procedure is somewhat similar to that in which one obtains the Hartree-Fock wave function by properly optimizing a Slater determinant. There are three key features of the new method: (1) The wave function remains accurate as the nuclei configuration is changed from the equilibrium configuration to that of the dissociated molecule; (2) the many-electron wave function can be interpreted in an independent-particle scheme; (3) the independent-particle states are no longer always required to be symmetry functions for the spatial symmetry group as in the Hartree-Fock method. In addition, the energy calculated using the new method is always lower than the Hartree-Fock energy, and the method is applicable to states of any total spin and number of particles. Calculations using this method are reported for the H2 and LiH molecules.


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. I thank Dr. Pitzer for the use of his integral programs.
Record Number:CaltechAUTHORS:GODDpr67b
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:GODDpr67b
Alternative URL:http://dx.doi.org/10.1103/PhysRev.157.81
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:3121
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:16 May 2006
Last Modified:26 Dec 2012 08:52

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