Computer Physics Communications Program LibraryPrograms in Physics & Physical Chemistry |

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Manuscript Title: Vector coupling coefficients as products of prime factors. | ||

Authors: R.McD. Dodds, G. Wiechers | ||

Program title: COEF | ||

Catalogue identifier: ACRE_v1_0Distribution format: gz | ||

Journal reference: Comput. Phys. Commun. 4(1972)268 | ||

Programming language: Fortran. | ||

Computer: ICL 1901A. | ||

Operating system: ICL AUTOMATIC OPERATOR. | ||

RAM: 14K words | ||

Word size: 24 | ||

Keywords: Atomic physics, Nuclear physics, Vector coupling Coefficient, Rotation group, Clebsch-Gordan Coefficient, Racah coefficient, Integer arithmetic, General purpose. | ||

Classification: 4.1. | ||

Nature of problem:The program computes 3j-symbols, 6j-symbols and rotation matrices (special cases) and expresses the result as a product of powers of prime numbers. | ||

Solution method:A set of subroutines is given to generate prime numbers, to express a given integer as a product of prime numbers and to carry out addition, subtraction, multiplication and division of such products, always leaving the result in the form of a product of prime numbers. | ||

Running time:The time depends on the magnitude of the arguments of the coefficients, and is between 2 and 10 s. Running time is greatly reduced after the first few coefficients have been calculated. |

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