Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-09-14
Czech.J.Phys. 54 (2004) 5-12
Physics
High Energy Physics
High Energy Physics - Theory
7 pages, latex, uses czjphys.cls, contributed to the `1st International Workshop on Pseudo-Hermitian Hamiltonians in Quantum P
Scientific paper
10.1023/B:CJOP.0000014362.68271.
Here we discuss two many-particle quantum systems, which are obtained by adding some nonhermitian but PT (i.e. combined parity and time reversal) invariant interaction to the Calogero model with and without confining potential. It is shown that the energy eigenvalues are real for both of these quantum systems. For the case of extended Calogero model with confining potential, we obtain discrete bound states satisfying generalised exclusion statistics. On the other hand, the extended Calogero model without confining term gives rise to scattering states with continuous spectrum. The scattering phase shift for this case is determined through the exchange statistics parameter. We find that, unlike the case of usual Calogero model, the exclusion and exchange statistics parameter differ from each other in the presence of PT invariant interaction.
Basu-Mallick Bireswar
Bhattacharyya Tanaya
Kundu Anjan
Mandal Bhabani Prasad
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