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Here we review a method for constructing exact eigenvalues and eigenfunctionsof a many-particle quantum system, which is obtained by adding somenonhermitian but PT invariant (i.e., combined parity and time reversalinvariant) interaction to the Calogero model. It is shown that such extendedCalogero model leads to a real spectrum obeying generalised exclusionstatistics. It is also found that the corresponding exchange statisticsparameter differs from the exclusion statistics parameter and exhibits a`reflection symmetry' provided the strength of the PT invariant interactionexceeds a critical value.Comment: 8 pages, Latex, Talk given at Joint APCTP-Nankai Symposium, Tianjin  (China), Oct. 200

FRACTIONAL STATISTICS IN SOME EXACTLY SOLVABLE MODELS WITH PT INVARIANT INTERACTIONS