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

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

1996-06-30

arxiv.org/abs/q-alg/9606026v1

Journal of mathematical physics June 01 1996 v 37 n 6 p 3022

Mathematics

Quantum Algebra

Latex, 22 pages, one figure using epsf

Scientific paper

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.

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