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Calculation of 3n-j symbols by Labarthe's method

✍ Scribed by Clemens C. J. Roothaan; Shan-Tao Lai

Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
144 KB
Volume
63
Category
Article
ISSN
0020-7608

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✦ Synopsis

To obtain explicit algebraic formulas for calculating 3n-j symbols, a new algebraic method due to Labarthe shows great promise. The method is based on Bargmann's treatment of the rotation group, and Jucys' analysis of vector coupling graphs. In this article we present an overview of Labarthe's algebraic scheme, and use it to derive the well-known formulas for the 3-j and 6-j symbols. These derivations are much shorter and more lucid than the classical derivations by Wigner and Racah.

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