Exact solution of Calogero model with competing long-range interactions
Condensed Matter
2009-10-31 v3 High Energy Physics - Theory
Exactly Solvable and Integrable Systems
Abstract
An integrable extension of the Calogero model is proposed to study the competing effect of momentum dependent long-range interaction over the original interaction. The eigenvalue problem is exactly solved and the consequences on the generalized exclusion statistics, which appears to differ from the exchange statistics, are analyzed. Family of dual models with different coupling constants is shown to exist with same exclusion statistics.
Cite
@article{arxiv.cond-mat/0003425,
title = {Exact solution of Calogero model with competing long-range interactions},
author = {B. Basu-Mallick and Anjan Kundu},
journal= {arXiv preprint arXiv:cond-mat/0003425},
year = {2009}
}
Comments
Revtex, 6 pages, 1 figure, hermitian variant of the model included, final version to appear in Phys. Rev. B