Coupling coefficients and matrix elements of arbitrary tensors in the elliott projected angular momentum basis

J. P. Draayer, Iowa State University
S. A. Williams, Iowa State University


An explicit expression for the transformation brackets between the basis for an arbitrary irreducible representation of U(3) labeled in the U(3) ⊃ R(3) scheme introduced by Elliott and the Gel'fand U(3) ⊃ U(2) ⊗ U(1) scheme is obtained. The results are applied in deriving an expression for both the U(3) ⊃ R(3) coupling coefficients and projected tensor matrix elements. © 1969.