A NEW BOSON CALCULUS FOR SU(3)

Authors
PRAKASH JS SHARATCHANDRA HS
Citation
Js. Prakash et Hs. Sharatchandra, A NEW BOSON CALCULUS FOR SU(3), Journal of mathematical physics, 38(9), 1997, pp. 4854-4862
Citations number
25
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of mathematical physics → ACNP
ISSN journal
00222488
Volume
38
Issue
9
Year of publication
1997
Pages
4854 - 4862
Database
ISI
SICI code
0022-2488(1997)38:9<4854:ANBCFS>2.0.ZU;2-F
Abstract
It is shown that the Gelfand-Weyl pattern for SU(3) can be uniquely ex pressed in terms of four non-negative and one positive or negative fre e integers. This provides an optimal, albeit non-linear, boson calculu s for SU(3) in terms of four harmonic oscillators and one planar rotor . (By optimal it is meant that every irreducible representation is obt ained once and once only.) Our techniques can be generalized to other groups. (C) 1997 American Institute of Physics.