Asymptotics of Clebsch-Gordan Coefficients

Abstract

Asymptotic expressions for Clebsch-Gordan coefficients are derived from an exact integral representation. Both the classically allowed and forbidden regions are analyzed. Higher-order approximations are calculated. These give, for example, six digit accuracy when the quantum numbers are in the hundreds.

30 pages, two figures. New Appendix added. Accepted for publication in the Journal of Mathematical Physics

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