On an exactly solvable B_N type Calogero model with nonhermitian PT invariant interaction

2001/01/31 by B. Basu-Mallick, Bhabani Prasad Mandal · 1 citation
Physics and Astronomy · #cond-mat.stat-mech #hep-th #nlin.SI #quant-ph

paper · pdf · doi:10.1016/s0375-9601(01)00310-3

published as Phys.Lett. A284 (2001) 231-237 · Revtex, 13 pages, No figures, Minor changes, Version to appear in Phys. Lett A

arxiv created 2001/05/09 · arxiv updated 2009/11/30

Abstract

An exactly solvable many-particle quantum system is proposed by adding some nonhermitian but PT invariant interactions to the B_N Calogero model. We have shown that such extended B_N 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.

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