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

摘要

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.