Fractional statistics in some exactly solvable Calogero-like models with PT invariant interactions

Details Fractional statistics in some exactly solvable Calogero-like models with PT invariant interactions Fractional statistics in some exactly solvable Calogero-like models with PT invariant interactions

2002-01-07

arxiv.org/abs/cond-mat/0201074v1

Int.J.Mod.Phys. B16 (2002) 1875-1882

Physics

Condensed Matter

Statistical Mechanics

8 pages, Latex, Talk given at Joint APCTP-Nankai Symposium, Tianjin (China), Oct. 2001

Scientific paper

10.1142/S0217979202011585

Here we review a method for constructing exact eigenvalues and eigenfunctions of a many-particle quantum system, which is obtained by adding some nonhermitian but PT invariant (i.e., combined parity and time reversal invariant) interaction to the Calogero model. It is shown that such extended Calogero model leads to a real spectrum obeying generalised exclusion statistics. It is also found that the corresponding exchange statistics parameter differs from the exclusion statistics parameter and exhibits a `reflection symmetry' provided the strength of the PT invariant interaction exceeds a critical value.

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