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The symmetric groups and the Waller–Hartree spin-free method

✍ Scribed by T. K. Lim

Publisher
John Wiley and Sons
Year
1977
Tongue
English
Weight
270 KB
Volume
11
Category
Article
ISSN
0020-7608

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✦ Synopsis

Abstract

The relations between the Waller–Hartree spin‐free method and the symmetric group theory are given. It is shown that the Gallup method is a special case of ours with S = M. Furthermore, all the irreducible representation matrices and other matrices needed are written explicitly in terms of Sanibel coefficients which makes the method more useful. However, it was shown that the cases with S ≠ M for the spin‐free pure spin states might be beyond the power of the symmetric group theory.

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## Abstract In this paper we show that with the equivalent transformation **P**^__r__^ = (−1)^__P__^(**P**^σ^)^−1^ the spin function dependent methods such as Slater's method without group theory or Goddard's method with group theory differ only in different antisymmetric requirements from the pres

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