2004•Telecommunications and Radio EngineeringRequires access

On Clebsch-Gordan Coefficients in a Complex j-Plane I. Physical Values of the Angular Momentum

A. S. Bryukhovetsky, L. A. Pazynin

Abstract

Sufficiently simple exact expressions are obtained for the Clebsch−Gordan coefficients with magnetic quantum numbers 0 and 1 for physical values of the angular momentums. On the basis of these expressions the asymptotics of the Clebsch−Gordan coefficients are calculated and their comparison with the results known from literature is carried out. The results are of importance in investigations of asymptotic behavior of a scattered field in the corresponding spherically symmetric problems of electrodynamics.

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Key concepts: Clebsch–Gordan coefficients, Angular momentum, Simple (philosophy), Physics, Total angular momentum quantum number, Quantum, Plane (geometry), Basis (linear algebra)