Computer Physics Communications Program Library

Programs in Physics & Physical Chemistry

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Manuscript Title: Explicit formulas for Clebsch-Gordan coefficients.
Authors: G. Rudnicki-Bujnowski
Program title: CLEBSCH-GORDAN EXPLICIT FORMULAS
Catalogue identifier: ACWL_v1_0 Distribution format: gz
Journal reference: Comput. Phys. Commun. 10(1975)245
Programming language: Formac.
Computer: IBM 370/168.
Operating system: OS-MVT-RSL. 7+HASP FORMAC SYSTEM PL1/F COMP.
RAM: 65K words
Word size: 32
Keywords: General purpose, Rotation group, Clebsch-gordan, Spectroscopy, Algebraic manipulation, Formac, Computer algebra.
Classification: 4.1, 5.
Nature of problem: To obtain explicit algebraic formulas for Clebsch-Gordan coefficients for high values of angular momentum.
Solution method: Algebraic method based on the Racah formula using the FORMAC programming language.
Restrictions: Formac limitations. Numbers which are too large may be generated during intermediate stages of the program for high values of angular momentum.
Unusual features: The results are algebraic formulas in which numbers can be substituted to get numerical results.
Running time: Compilation and linkage : 7 s. Execution time depends on the values demanded: 11 s for j2 = 1/2, 3/2; 6 min for j2 = 2, 5/2, 3, 7/2, 4, 9/2.