Efficient storage scheme for precalculated Wigner 3j, 6j and Gaunt coefficients

SIAM Journal on Scientific Computing

Volumn 25, Issue 4, 2003, Pages 1416-1428

  Rasch, J ^a   Yu, A C H ^a  

^a QUEEN'S UNIVERSITY BELFAST   (United Kingdom)

Author keywords

6j symbols; Gaunt coefficients; Vector coupling coefficients; Wigner 3j

Indexed keywords

ALGEBRA; APPROXIMATION THEORY; CODES (SYMBOLS); IMPACT IONIZATION; MATHEMATICAL MODELS; PARAMETER ESTIMATION; PROBLEM SOLVING; QUANTUM THEORY; WAVE EQUATIONS;

6J SYMBOLS; GAUNT COEFFICIENTS; VECTOR COUPLING COEFFICIENTS; WIGNER 3J;

DATA STORAGE EQUIPMENT;

EID: 4043111247     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1064827503422932     Document Type: Article

References (18)

1. S. KELLER, C. T. WHELAN, H. AST, H. R. J. WALTERS, AND R. M. DREIZLER, Relativistic distorted-wave Born calculations for (e,2e) processes on inner shells of heavy atoms, Phys. Rev. A, 50 (1994), p. 3865-3877.
2. J. RASCH, M. ZITNIK, L. AVALDI, C. T. WHELAN, G. STEFANI, R. J. ALLEN, AND H. R. J. WALTERS, Theoretical and experimental investigation of the triple differential cross sections for electron impact ionization of Kr(4p) and Xe(5p) at 1keV impact energy, Phys. Rev. A, 56 (1997), pp. 4644-4655.
3. P. MARCHALANT, J. RASCH, C. T. WHELAN, D. H. MADISONN, AND H. R. J. WALTERS, First and second Born calculation of (e, 2e) excitation-ionization of helium, J. Phys. B, 32 (1999), pp. L705-L710.
4. A. R. EDMONDS, Angular Momentum in Quantum Mechanics, Princeton University Press, Princeton, NJ, 1974.
5. T. REGGE, Symmetry properties of Clebsch-Gordan's coefficients, Nuovo Cimento, 10 (1958), pp. 544-545.
6. K. VENKATESH, Symmetries of the 3j coefficient, J. Math. Phys., 19 (1978), pp. 2060-2063.
7. K. VENKATESH, Symmetries of the 6j coefficient, J. Math. Phys., 19 (1978), pp. 1973-1974.
8. R. E. TUZUN, P. BURKHARDT, AND D. SECREST, Accurate computation of individual and tables of 3j and 6j symbols, Comput. Phys. Comm., 112 (1998), pp. 112-148.
9. L. C. BIEDENHARN AND J. C. LOUCK, Angular Momentum in Quantum Physics, Vol. 8, Addison-Wesley, Reading, MA, 1981.
10. K. SCHULTEN AND R. G. GORDON, Semiclassical approximations to 3j- and 6j-coefficients for quantum-mechanical coupling of angular momenta, J. Math. Phys., 16 (1975), pp. 1971-1975.
11. K. SCHULTEN AND R. G. GORDON, Recursive evaluation of 3j and 6j coefficients, Comput. Phys. Comm., 11 (1976), pp. 269-278.
12. T. REGGE, Symmetry properties of Racah coefficients, Nuovo Cimento, 11 (1959), pp. 116-117.
13. L. C. BIEDENHARN AND J. C. LOUCK, The Racah-Wigner Algebra in Quantum Theory, Vol. 9, Addison-Wesley, Reading, MA, 1981.
14. L. A. SHELEPIN, On the symmetry of the Clebsch-Gordon coefficients, Soviet Physics JETP, 19 (1964), pp. 702-705.
15. A. LIBERATO DE BRITO, FORTRAN program for the integral of three spherical harmonics, Comput. Phys. Comm., 25 (1982), pp. 81-85.
16. B. FUCHSSTEINER, MuPAD, University of Paderborn, Paderborn, Germany, http://www.mupad.de/.
17. D. F. FANG AND J. F. SHRINER JR., A computer program for the calculation of angular-momentum coupling coefficients, Comput. Phys. Comm., 70 (1992), pp. 147-153.
18. S. T. LAI AND Y. N. CHIU, Exact computation of the 3j and 6j symbols, Comput. Phys. Comm., 61 (1990), pp. 350-360.