Asymptotics of Clebsch-Gordan Coefficients
Mathematical Physics
2015-06-26 v2 Group Theory
math.MP
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.
Keywords
Cite
@article{arxiv.math-ph/9906007,
title = {Asymptotics of Clebsch-Gordan Coefficients},
author = {Matthias W. Reinsch and James J. Morehead},
journal= {arXiv preprint arXiv:math-ph/9906007},
year = {2015}
}
Comments
30 pages, two figures. New Appendix added. Accepted for publication in the Journal of Mathematical Physics