Direct evaluation of elements of the representation matrices of the spin permutation group for transpositions

14 February 1979

journal article
Published by IOP Publishing in Journal of Physics B: Atomic and Molecular Physics

Vol. 12 (3) , 339-344
https://doi.org/10.1088/0022-3700/12/3/010

Abstract

Graphical methods of spin algebras are used to evaluate elements of the representation matrices of the spin permutation group for arbitrary transpositions. The matrix elements are evaluated directly; no matrix multiplication is required. The method is discussed for the Young-Yamanouchi basis and the Jahn-Serber basis.

Keywords

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