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Manuscript Title: Programs for algebraic calculation of angular momentum coupling.
Authors: K. Takada
Program title: KENTARO/KENJIRO
Catalogue identifier: ACGB_v1_0
Distribution format: gz
Journal reference: Comput. Phys. Commun. 69(1992)142
Programming language: Fortran.
Computer: FACOM 780.
Operating system: FACOM OS IV/F4 MSP.
Keywords: Computer algebra, General purpose, Rotation group, Angular momentum Coupling, Algebraic manipulation, Kentaro, Kenjiro, Clebsch-gordan Coefficients, Six-j symbols.
Classification: 4.1, 5.

Nature of problem:
The computer programs, KENTARO and KENJIRO, allow algebraic calculation of the angular momentum coupling. The first program can execute the summation of products of many Clebsch-Gordan coefficients with respect to the magnetic quantum numbers, and the second one the summation of products of many six-j symbols with respect to the azimuthal quantum numbers.

Solution method:
All calculations are performed by character operation and algebraic manipulation using various possible formulae in the angular momentum algebra.

There is no special restriction, but one should note the following. Depending on the arrangement of the input data, the expression of the output results from KENTARO are not unique, although they are mathematically equivalent. To find a simpler expression, it is recommended that the results be checked by rearranging the input data. For details, refer to Note 2 and 4 in sect.2 of the long write-up.

Running time:
The time for the test run on FACOM 780 is less than 0.1 second.