DEGENERACY STRUCTURE OF THE CALOGERO-SUTHERLAND MODEL - AN ALGEBRAIC APPROACH

Citation
N. Gurappa et al., DEGENERACY STRUCTURE OF THE CALOGERO-SUTHERLAND MODEL - AN ALGEBRAIC APPROACH, Modern physics letters A, 13(5), 1998, pp. 339-346
Citations number
31
Categorie Soggetti
Physics, Nuclear","Physics, Particles & Fields","Physycs, Mathematical
Journal title
ISSN journal
02177323
Volume
13
Issue
5
Year of publication
1998
Pages
339 - 346
Database
ISI
SICI code
0217-7323(1998)13:5<339:DSOTCM>2.0.ZU;2-W
Abstract
The degeneracy structure of the eigenspace of the N-particle Calogero- Sutherland model is studied from an algebraic point of view. Suitable operators satisfying SU(2) algebras and acting on the degenerate eigen space are explicitly constructed for the two-particle case and then ap propriately generalized to the N-particle model. The raising and lower ing operators of these algebras connect the states, in a subset of the degenerate eigenspace, with each other.