Asymptotics of Clebsch-Gordan Coefficients

Details Asymptotics of Clebsch-Gordan Coefficients Asymptotics of Clebsch-Gordan Coefficients

1999-06-07

arxiv.org/abs/math-ph/9906007v2

M. W. Reinsch and J. J. Morehead, J. Math. Phys., vol. 40, 4782 (1999).

Physics

Mathematical Physics

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

Scientific paper

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.

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