Open AccessA STUDY OF SUq(2) COHERENT STATE BY MAKING USE OF q-DEFORMATION HARMONIC OSCILLATORS REALIZATION OF SUq(2) QUANTUM ALGEBRA
Author(s) -
Hao San-Ru
Publication year - 1993
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.42.691
Subject(s) - realization (probability) , coherent states , physics , quantum algebra , harmonic oscillator , quantum mechanics , state (computer science) , quantum , basis (linear algebra) , pure mathematics , algebra over a field , mathematical physics , current algebra , mathematics , statistics , geometry , algorithm
The SUq(2) coherent state is constructed by making use of the q- deformation harmonic oscillators realization of the SUq(2) quantum algebra. It is shown that the basis functions of the SU, (2) quantum algebra is orthogonal. The completeness and normalizing property of the SUq(2) coherent state is studied. We point out that the coherent property of the SUq(2) co-herent state is affected by q parameter, and show more generalility than the usual SU(2) co-herent state.