On an exactly solvable BN type Calogero model with nonhermitian PT invariant interaction
Abstract
An exactly solvable many-particle quantum system is proposed by adding some nonhermitian but PT invariant interactions to the BN Calogero model. We have shown that such extended BN 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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