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On the representation matrices of the spin permutation groupA method is presented for the determination of the representation matrices of the spin permutation group (symmetric group), a detailed knowledge of these matrices being required in the study of the electronic structure of atoms and molecules. The method is characterized by the use of two different coupling schemes. Unlike the Yamanouchi spin algebraic scheme, the method is not recursive. The matrices for the fundamental transpositions can be written down directly in one of the two bases. The method results in a computationally significant reduction in the number of matrix elements that have to be stored when compared with, say, the standard Young tableaux group theoretical approach.
Document ID
19780034781
Document Type
Reprint (Version printed in journal)
Authors
Wilson, S. (NASA Goddard Institute for Space Studies New York, N.Y., United States)
Date Acquired
August 9, 2013
Publication Date
December 1, 1977
Publication Information
Publication: Journal of Chemical Physics
Volume: 67
Subject Category
NUCLEAR AND HIGH-ENERGY PHYSICS
Distribution Limits
Public
Copyright
Other