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A simple sum formula for Clebsch-Gordan coefficients. (English) Zbl 0463.33010
MSC:
33E99Other special functions
33C55Spherical harmonics
81Q05Closed and approximate solutions to quantum-mechanical equations
References:
[1]Din, A.M. and Zakrzewski, W.J., Nucl. Phys. B168, 173 (1980). · doi:10.1016/0550-3213(80)90282-5
[2]I thank Drs. M. Kibler and D. Wyler for their interest in this point.
[3]Varshalovitch, D.A., Moskalev, A.N., and Khersonski, V.K., Quantum Theory of Angular Momentum (Russian edition), Nauka, 1975.
[4]Gradstein, I.S. and Ryshik, I.M., Higher Transcendental Functions, Vol. I, McGraw-Hill, 1953.
[5]I thank Dr. R. Askey for pointing out that the integral can, in fact, be evaluated for general parameters using a generalized version of Dougall’s formula.