On summation of 3j-Wigner symbols

A. N. Hopersky, R. V. Koneev

Rostov State Transport University

Abstract: Within the framework of the theory of irreducible tensor operators, using well-known general analytical results for double sums of products of two 3j-Wigner symbols, analytical expressions for single sums for the values j^1=j^2=1 and j=2 parameters of the upper row 3j Wigner symbol are specified. The expressions obtained supplement the well-known analytical results of the theory of angular momentum and are in demand in solving, in particular, such problems of atomic physics as the construction of a nonrelativistic quantum theory of single and double bremsstrahlung when a photon is scattered by an atom (atomic ion).

UDC: 517.983.24

Received: 24.11.2022
Accepted: 02.03.2023

DOI: 10.18522/1026-2237-2023-1-24-28

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