AN ALGEBRAIC CONSTRUCTION OF SOME SELF-CONJUGATE OPERATORS IN U(5)

Citation
C. Leroy et F. Michelot, AN ALGEBRAIC CONSTRUCTION OF SOME SELF-CONJUGATE OPERATORS IN U(5), Canadian journal of physics, 72(5-6), 1994, pp. 274-289
Citations number
28
Categorie Soggetti
Physics
Journal title
ISSN journal
00084204
Volume
72
Issue
5-6
Year of publication
1994
Pages
274 - 289
Database
ISI
SICI code
0008-4204(1994)72:5-6<274:AACOSS>2.0.ZU;2-D
Abstract
The group U(5) may be taken as the degeneracy (respectively, dynamical ) group of five (respectively, four) equivalent oscillators or particl es. Practical applications require the knowledge of a complete set of independent tensors of arbitrary degree acting within a totally symmet ric irreducible representation of U(5). These are built in the canonic al chain and their components explicitly determined through a simple r ealization of semimaximal tensors.