Calogero model, deformed oscillators and the collapse
High Energy Physics - Theory
2009-11-07 v5
Abstract
We discuss the behavior of the Calogero model and the related model of deformed oscillators with the S_N extended Heisenberg algebra for a special value of the constant of interaction/statistical parameter nu. The problem with finite number of deformed oscillators is analyzed in the algebraic approach, while collective-field theory has been used to investigate the large-N limit. In this limit, system reduces to a large number of collapsing (free) particles, for nu=-1/N.
Cite
@article{arxiv.hep-th/0107053,
title = {Calogero model, deformed oscillators and the collapse},
author = {Velimir Bardek and Larisa Jonke and Stjepan Meljanac and Marijan Milekovic},
journal= {arXiv preprint arXiv:hep-th/0107053},
year = {2009}
}
Comments
Revtex, 7 pages, final version, to appear in PLB