1999/06/30 by Matthias W. Reinsch, Matthias Reinsch, James J. Morehead
Mathematics · Physics and Astronomy · #Advanced Mathematical Identities #Clebsch–Gordan coefficients #Irreducible representation #Mathematical analysis #Mathematical functions and polynomials #Mathematical physics #Mathematics #Physics #Pure mathematics #Quantum #Quantum mechanics #Representation (politics) #Statistical Mechanics and Entropy #math-ph #math.GR #math.MP
paper · pdf · doi:10.1063/1.533000
published as M. W. Reinsch and J. J. Morehead, J. Math. Phys., vol. 40, 4782 (1999). · 30 pages, two figures. New Appendix added. Accepted for publication in the Journal of Mathematical Physics
arxiv created 1999/07/26 · openalex publication_date 1999/10/01 · arxiv updated 2015/06/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.