Character states and generator matrix elements for Sp(4)⊃SU(2)×U(1)

Abstract

A new set of polynomial states (to be called character states) are derived for Sp(4) reduced to its SU(2)×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.