Matrix oscillator and Calogero-type models

Details Matrix oscillator and Calogero-type models Matrix oscillator and Calogero-type models

2004-08-31

arxiv.org/abs/hep-th/0408241v1

Phys.Lett. B600 (2004) 179-184

Physics

High Energy Physics

High Energy Physics - Theory

Accepted for publication in Phys.Lett. B

Scientific paper

10.1016/j.physletb.2004.08.066

We study a single matrix oscillator with the quadratic Hamiltonian and deformed commutation relations. It is equivalent to the multispecies Calogero model in one dimension, with inverse-square two-body and three-body interactions. Specially, we have constructed a new matrix realization of the Calogero model for identical particles, without using exchange operators. The critical points at which singular behaviour occurs are briefly discussed.

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