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Manuscript Title: Generating functions for L-harmonics.
Authors: R.W. Gaskell
Program title: LHARM
Catalogue identifier: AARE_v1_0
Distribution format: gz
Journal reference: Comput. Phys. Commun. 24(1981)191
Programming language: Fortran.
Computer: HP 3000.
Operating system: MPEIII.
RAM: 25K words
Word size: 16
Peripherals: disc.
Keywords: General purpose, L-harmonics, Generating Function, Generalized su(2) Spherical harmonics, Su(2), O(3), Lie group.
Classification: 4.7.

Nature of problem:
Generating functions enumerating L-harmonics are useful in providing polynomial bases and constructing missing label operators for semisimple groups reduced according to the principal SU(2) subgroup. LHARM can be used to construct such generating functions for arbitrarily large L.

Solution method:
Recursion procedure generating FL from FL-2.

There are no restrictions but some modifications are needed in the listed program for L>13.

Running time:
Compile time was 3s. For L=5, CPU=7. For L=13, CPU=72.