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

B. Basu-Mallick·Bhabani Prasad Mandal
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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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B. Basu-Mallick, Bhabani Prasad Mandal. 2001-05-09. On an exactly solvable $B_N$ type Calogero model with nonhermitian PT invariant interaction. https://doi.org/10.1016/s0375-9601(01)00310-3

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