Unified approach for exact calculation of angular momentum coupling and recoupling coefficients

Published: 01-01-1999| Version 1 | DOI: 10.17632/dz9zhn4mfz.1
Liqiang Wei


Abstract We present schemes to reformulate all the 3j, 6j and 9j symbols in a form which is the product of two factors. One is a prefactor which is the square root of integer products and quotients. The other is the summation of the products of binomial coefficients. In the calculation of these factors, we utilize two types of number representation: the prime number representation for the prefactor, and the 32768-base number representation for the summation terms. This makes it possible to tabulate or... Title of program: 369j Catalogue Id: ADKL_v1_0 Nature of problem Angular momentum coupling and recoupling coefficients occur in almost all of the areas using quantum mechanics. The accurate and fast calculation of 3j, 6j and 9j symbols is required in a variety of situations in nuclear physics, atomic physics, molecular physics, and astrophysics, etc. Versions of this program held in the CPC repository in Mendeley Data ADKL_v1_0; 369j; 10.1016/S0010-4655(99)00232-5 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)