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On an exactly solvable $B_N$ type Calogero model with nonhermitian PT invariant interaction | | B. Basu-Mallick
; Bhabani Prasad Mandal
; | | Date: |
23 Dec 2000 | | Journal: | Phys.Lett. A284 (2001) 231-237 | | Subject: | Statistical Mechanics; Exactly Solvable and Integrable Systems | cond-mat.stat-mech hep-th nlin.SI quant-ph | | Affiliation: | Saha Institute of Nuclear Physics, Calcutta) and Bhabani Prasad Mandal (S.N. Bose National Center for Basic Sciences, Calcutta | | Abstract: | An exactly solvable many-particle quantum system is proposed by adding some nonhermitian but PT invariant interactions to the $B_N$ Calogero model. We have shown that such extended $B_N$ 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. | | Source: | arXiv, cond-mat/0101349 | | Services: | Forum | Review | PDF | Favorites | |
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