Calogero model, deformed oscillators and the collapse

Details Calogero model, deformed oscillators and the collapse Calogero model, deformed oscillators and the collapse

2001-07-06

arxiv.org/abs/hep-th/0107053v5

Phys. Lett. B 531 (2002) 311-315

Physics

High Energy Physics

High Energy Physics - Theory

Revtex, 7 pages, final version, to appear in PLB

Scientific paper

10.1016/S0370-2693(02)01481-8

We discuss the behavior of the Calogero model and the related model of deformed oscillators with the S_N extended Heisenberg algebra for a special value of the constant of interaction/statistical parameter nu. The problem with finite number of deformed oscillators is analyzed in the algebraic approach, while collective-field theory has been used to investigate the large-N limit. In this limit, system reduces to a large number of collapsing (free) particles, for nu=-1/N.

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