Common Algebraic Structure for the Calogero-Sutherland Models
solv-int
2009-10-30 v2 Condensed Matter
High Energy Physics - Theory
Quantum Algebra
Exactly Solvable and Integrable Systems
q-alg
Abstract
We investigate common algebraic structure for the rational and trigonometric Calogero-Sutherland models by using the exchange-operator formalism. We show that the set of the Jack polynomials whose arguments are Dunkl-type operators provides an orthogonal basis for the rational case.
Keywords
Cite
@article{arxiv.solv-int/9608009,
title = {Common Algebraic Structure for the Calogero-Sutherland Models},
author = {Saburo Kakei},
journal= {arXiv preprint arXiv:solv-int/9608009},
year = {2009}
}
Comments
7 pages, LaTeX, no figures, some text and references added, minor misprints corrected