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Calogero model, deformed oscillators and the collapse

Velimir Bardek·Larisa Jonke·Stjepan Meljanac·Marijan Milekovic
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Abstract

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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Velimir Bardek, Larisa Jonke, Stjepan Meljanac, Marijan Milekovic. 2002-02-20. Calogero model, deformed oscillators and the collapse. https://doi.org/10.1016/s0370-2693(02)01481-8

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