Vector coherent state theory of the generic representations of so(5) in an so(3) basis

P. S. Turner, D. J. Rowe, J. Repka

Research output: Contribution to journalArticle (Academic Journal)peer-review

11 Citations (Scopus)

Abstract

For applications of group theory in quantum mechanics, one generally needs explicit matrix representations of the spectrum generating algebras that arise in bases that reduce the symmetry group of some Hamiltonian of interest. Here we use vector coherent state techniques to develop an algorithm for constructing the matrices for arbitrary finite-dimensional irreps of the SO(5) Lie algebra in an SO(3) basis. The SO(3) subgroup of SO(5) is defined by regarding SO(5) as linear transformations of the five-dimensional space of an SO(3) irrep of angular momentum two. A need for such irreps arises in the nuclear collective model of quadrupole vibrations and rotations. The algorithm has been implemented in MAPLE, and some tables of results are presented.
Original languageEnglish
JournalJournal of Mathematical Physics
DOIs
Publication statusPublished - 2006

Bibliographical note

20 pages, uses multirow.sty, submitted to J. Math. Phys

Keywords

  • math-ph
  • math.MP
  • nucl-th

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