Matrix oscillator and Calogero-type models
High Energy Physics - Theory
2009-11-10 v1 Statistical Mechanics
Mathematical Physics
math.MP
Abstract
We study a single matrix oscillator with the quadratic Hamiltonian and deformed commutation relations. It is equivalent to the multispecies Calogero model in one dimension, with inverse-square two-body and three-body interactions. Specially, we have constructed a new matrix realization of the Calogero model for identical particles, without using exchange operators. The critical points at which singular behaviour occurs are briefly discussed.
Cite
@article{arxiv.hep-th/0408241,
title = {Matrix oscillator and Calogero-type models},
author = {S. Meljanac and A. Samsarov},
journal= {arXiv preprint arXiv:hep-th/0408241},
year = {2009}
}
Comments
Accepted for publication in Phys.Lett. B