Phase shift analysis of PT-symmetric nonhermitian extension of A_{N-1} Calogero model without confining interaction

Details Phase shift analysis of PT-symmetric nonhermitian extension of A_{N-1} Calogero model without confining interaction Phase shift analysis of PT-symmetric nonhermitian extension of A_{N-1} Calogero model without confining interaction

2004-05-31

arxiv.org/abs/nlin/0405068v1

Mod.Phys.Lett. A20 (2005) 543-552

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Latex, 10 pages, no figures

Scientific paper

10.1142/S0217732305015896

We discuss a many-particle quantum system, which is obtained by adding some nonhermitian but PT (i.e. combined parity and time reversal) invariant interaction to the $A_{N-1}$ rational Calogero model without confining potential. This model gives rise to scattering states with continuous real spectrum. The scattering phase shift 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.

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