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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.i12.40
pages 1031-1043

On Clebsch−Gordan Coefficients in a Complex j-Plane II. Complex Values of Momentums

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 for the Clebsch−Gordan coefficients with magnetic quantum numbers 0 and 1 are obtained for complex values of angular momentums. Based on these expressions the asymptotics of Clebsch−Gordan coefficients was first calculated for complex values of the momentums. The results are of importance to investigations of asymptotic behavior of a scattered field in the corresponding electrodynamic problems.


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