On an exactly solvable $B_N$ type Calogero model with nonhermitian PT invariant interaction
Statistical Mechanics
2009-11-07 v2 High Energy Physics - Theory
Exactly Solvable and Integrable Systems
Quantum Physics
Abstract
An exactly solvable many-particle quantum system is proposed by adding some nonhermitian but PT invariant interactions to the Calogero model. We have shown that such extended Calogero model leads to completely real spectrum which obey generalised exclusion statistics. It is also found that the corresponding exchange statistics parameter exhibit `reflection symmetry' provided the strength of a PT invariant interaction exceeds a critical value.
Cite
@article{arxiv.cond-mat/0101349,
title = {On an exactly solvable $B_N$ type Calogero model with nonhermitian PT invariant interaction},
author = {B. Basu-Mallick and Bhabani Prasad Mandal},
journal= {arXiv preprint arXiv:cond-mat/0101349},
year = {2009}
}
Comments
Revtex, 13 pages, No figures, Minor changes, Version to appear in Phys. Lett A