Asymptotics of Clebsch-Gordan Coefficients

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 hundr...

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Bibliographic Details
Published in:arXiv.org 1999-07
Main Authors: Reinsch, Matthias W, Morehead, James J
Format: Article
Language:English
Subjects:
Asymptotic properties
Clebsch-Gordan coefficients
Quantum numbers
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.9906007