CLEBSCH-GORDAN-COEFFICIENTS IN COHERENT AND MIXED BASES

The generalized theory of angular momentum, including both discrete and continuous variables, is considered. New objects-mixed Clebsch-Gordan coefficients-which relate the bases of ordinary \jm] states and coherent states, are introduced. Explicit expressions for these coefficients are given, and a consistent method for constructing relations of the generalized theory is presented. The Wigner-Eckart theorem for the basis of coherent states is formulated.