2003/09/14 by B. Basu-Mallick, Tanaya Bhattacharyya, Anjan Kundu +1 · 2 citations
Physics and Astronomy · #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #cond-mat #hep-th #nlin.SI
paper · pdf · doi:10.1023/b:cjop.0000014362.68271.14
published as Czech.J.Phys. 54 (2004) 5-12 · 7 pages, latex, uses czjphys.cls, contributed to the `1st International Workshop on Pseudo-Hermitian Hamiltonians in Quantum Physics', Prague, June 16-17, 2003
arxiv created 2003/09/14 · openalex publication_date 2004/01/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.