Character States and Generator Matrix Elements for $Sp(4) \supset SU(2) \times U(1)$: Generic Representation

Hambli, N.; Michelson, J.; Sharp, R. T.

Character States and Generator Matrix Elements for $Sp(4) \supset SU(2) \times U(1)$: Generic Representation

Authors

Hambli, N.

Michelson, J.

Sharp, R. T.

Description

A new set of polynomial states (to be called character states) are derived for $Sp(4)$ reduced to its $SU(2) \times U(1)$ subgroup, and the relevant generator matrix elements are evaluated for generic representations $(a,b)$ of $Sp(4)$. (The degenerate representations $(a,0)$ and $(0,b)$ were treated in our previous work and are also given in this paper). The group--subgroup in question is that of the seniority model of nuclear physics.
Latex, 22 pages, one figure using epsf