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Journal of Physics A Mathematical and General

On the derivation of the traces of products of angular momentum operators using operator identities

Naeem Ullah

Published May 1, 1980• 4 citations
Publisher

Abstract

The products of exponentials containing various angular momentum operators are expressed on a single rotation operator. This gives new expressions for the traces of products of angular momentum operators in terms of hypergeometric functions. Since hypergeometric functions are related to Jacobi polynomials, the traces can also be expressed in terms of these polynomials.

DOI
10.1088/0305-4470/13/5/019

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The products of exponentials containing various angular momentum operators are expressed on a single rotation operator. This gives new expressions for the traces of products of angular momentum operators in terms of hypergeometric functions. Since hypergeometric functions are related to Jacobi polynomials, the traces can also be expressed in terms of these polynomials.