Degeneracy Structure of the Calogero-Sutherland Model: an Algebraic Approach

Details Degeneracy Structure of the Calogero-Sutherland Model: an Algebraic Approach Degeneracy Structure of the Calogero-Sutherland Model: an Algebraic Approach

1997-09-29

arxiv.org/abs/hep-th/9709210v1

Mod.Phys.Lett. A13 (1998) 339-346

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, REVTeX

Scientific paper

10.1142/S0217732398000395

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.

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