✦ LIBER ✦

Calculation of j and jm symbols for arbitrary compact groups. I. Methodology

✍ Scribed by P. H. Butler; B. G. Wybourne

Publisher: John Wiley and Sons
Year: 1976
Tongue: English
Weight: 758 KB
Volume: 10
Category: Article
ISSN: 0020-7608
DOI: 10.1002/qua.560100404

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✦ Synopsis

Abstract

A systematic method is established for computing the coupling coefficients associated with arbitrary compact groups using only the general properties of the coefficients and the specific character theory of the relevant groups. The basic character theory is first outlined. Then a primitive set of 6__j__ symbols is defined and their computation sketched with careful attention being given to matters of phase fixing. A recursive method is developed for calculating arbitrary 6__j__ symbols using the primitive set. Finally, a primitive set of 3__jm__ factors is set up and then the general 3__jm__ factors computed recursively.

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