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Telecommunications and Radio Engineering
SJR: 0.202 SNIP: 0.2 CiteScore™: 0.23

ISSN Imprimer: 0040-2508
ISSN En ligne: 1943-6009

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Telecommunications and Radio Engineering

DOI: 10.1615/TelecomRadEng.v61.i12.30
pages 1019-1029

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

A. S. Bryukhovetsky
A. Usikov Institute of Radio Physics and Electronics, National Academy of Sciences of Ukraine
Leonid Aleksandrovich Pazynin
Institute of Radio Physics and Electronics of the National Academy of Sciences of Ukraine, 12, Academician Proskura St., Kharkov 61085, Ukraine

RÉSUMÉ

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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