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Manuscript Title: Explicit formulae of angular momentum coupling coefficients. | ||

Authors: F. Koike | ||

Program title: ANALG | ||

Catalogue identifier: ACJV_v1_0Distribution format: gz | ||

Journal reference: Comput. Phys. Commun. 72(1992)154 | ||

Programming language: Reduce. | ||

Computer: HITAC M682H. | ||

Operating system: VOS3. | ||

Keywords: General purpose, Rotation group, Angular momentum, Coupling coefficient, Clebsch-gordan Coefficient, 3j-symbol, Racah coefficient, 6j-symbol, X-coefficient, 9j-symbol, Computer algebra, Wigner, Racah, Reduce, Reduce33. | ||

Classification: 4.1, 5. | ||

Nature of problem:The program allows us algebraic reductions of Wigner's formula for Clebsch-Gordan coefficients and Racah's formula for Racah coefficients. With use of these two formulae, the program gives explicit algebraic expressions for Clebsch-Gordan coefficients, Racah coefficients, the X-coefficients, and other related coupling coefficients of angular momenta. The program contains several operators and each of them returns a coefficient accepting both values and variables of angular momentum as their arguments. The present program helps us with analytic manipulations of expressions containing those coefficients. | ||

Restrictions:There is no special restriction for the range of angular momentum values if enough memory is supplied. However, the reduction of the coupling coefficient that contains a high angular momentum value is sometimes time consuming and, therefore, is not practical. | ||

Unusual features:The program has no unusual features as a REDUCE program. The present program carries out no floating point operation. As far as the REDUCE and the LISP system are compatible, the present program is strictly machine independent. | ||

Running time:This varies widely from problem to problem. The three examples in the test deck took about 47 seconds in total, of which 45 percent are used by the X-coefficient. For details, see the output listings given in LONG WRITEUP. |

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