Wigner-Eckart theorem in the inductive spaces

Abstract

By use of the modified Wigner group projectors the reduced matrix element of Wigner-Eckart theorem is found to be an ordinary matrix element of the invariants built of the involved states and operator. This is used to derive the general form of Wigner-Eckart theorem for the inductive spaces and to propose a symmetry based procedure of the matrix elements calculations.