Degeneracy Structure of the Calogero-Sutherland Model: an Algebraic Approach
High Energy Physics - Theory
2009-10-30 v1
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 eigenspace are explicitly constructed for the two particle case and then appropriately generalized to the N-particle model. The raising and lowering operators of these algebras connect the states, in a subset of the degenerate eigenspace, with each other.
Keywords
Cite
@article{arxiv.hep-th/9709210,
title = {Degeneracy Structure of the Calogero-Sutherland Model: an Algebraic Approach},
author = {N. Gurappa and Prasanta K. Panigrahi and V. Srinivasan},
journal= {arXiv preprint arXiv:hep-th/9709210},
year = {2009}
}
Comments
11 pages, REVTeX