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  Home > JCE Print > Journal of Chemical Education > Issues > 1999  > October  >
Research: Science and Education
Accurate and Efficient Perturbation Theory by Matrix Inversion
B. Cameron Reed
Department of Physics, Alma College, Alma, MI 48801
Cover
October 1999
Vol. 76 No. 10
p. 1444
Abstract
A novel approach to time-independent perturbation theory is developed, which has significant advantages over the traditional Rayleigh-Schrödinger method. With this new method, energies and wave functions corresponding to perturbations of arbitrary strength acting on either degenerate or nondegenerate systems can be efficiently recovered in a conceptually straightforward matrix-inversion scheme. Tedious summations are eliminated, and no integrals beyond those appearing in first-order perturbation theory need be computed.
More Information
*  Citation
 Reed, B. Cameron. J. Chem. Educ. 1999 76 1444.
*  Keywords
 Physical Chemistry; Quantum Chemistry
*  History
 Created:
Last Updated:		 September 6, 1999
June 23, 2005
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