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

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

2001-01-23

arxiv.org/abs/cond-mat/0101349v2

Phys.Lett. A284 (2001) 231-237

Physics

Condensed Matter

Statistical Mechanics

Revtex, 13 pages, No figures, Minor changes, Version to appear in Phys. Lett A

Scientific paper

10.1016/S0375-9601(01)00310-3

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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