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Calculation of j and jm symbols for arbitrary compact groups. II. An alternate procedure for angular momentum

โœ Scribed by P. H. Butler

Publisher
John Wiley and Sons
Year
1976
Tongue
English
Weight
462 KB
Volume
10
Category
Article
ISSN
0020-7608

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โœฆ Synopsis

Abstract

The various orthogonality and sum rules which the 6__j__ and 3__jm__ symbols satisfy are sufficient to obtain the algebraic formulas for these symbols for SO~3~ โŠƒ SO~2~. Character theory enters in that the j's and m's occurring in the various sums are given by the triangle rule
together with information on the symmetrized product and the branching, SO~3~ โŠƒ SO~2~,

The resulting calculation is somewhat simpler, algebraically speaking, than previous calculations and has the pedagogical advantage that only the concept of an irreducible representation of a group is required, instead of the more elaborate concept of ladder operators.

๐Ÿ“œ SIMILAR VOLUMES

Calculation of j and jm symbols for arbi
Calculation of j and jm symbols for arbitrary compact groups. I. Methodology
โœ P. H. Butler; B. G. Wybourne ๐Ÿ“‚ Article ๐Ÿ“… 1976 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 758 KB

## 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 primit