An algorithm is described which decides if a given polynomial differential expression β of multivariate functions is exact, i.e. whether there exists a first integral P such that DxP = β for any one x of a set of n variables and to provide the integral P . A generalization is given to allow integrat
Exact computation of the 9-j symbols
β Scribed by Shan-Tao Lai; Ying-Nan Chiu
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 592 KB
- Volume
- 70
- Category
- Article
- ISSN
- 0010-4655
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β¦ Synopsis
A useful algebraic formula for the 9-j symbol has been rewritten for convenient use on a computer. A simple FORTRAN program for the exact computation of 9-f symbols has been written for the VAX with VMS version V5.4-1 according to this formula. The results agree with the approximate values in existing literature. Some specific values of 9-f symbols needed for the intensity and alignments of three-photon nonresonant transitions are tabulated. Approximate 9-f symbol values beyond the limitation of the computer can also be computed by this program. The computer code of the exact computation of 3-f, 6-f and 9-f symbols are available through electronic mail upon request.
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