Matrix oscillator and Calogero-type models

S. Meljanac; A. Samsarov

doi:10.1016/j.physletb.2004.08.066

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arXiv · hep-th/0408241

Matrix oscillator and Calogero-type models

S. Meljanac·A. Samsarov

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Abstract

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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S. Meljanac, A. Samsarov. 2004-08-31. Matrix oscillator and Calogero-type models. https://doi.org/10.1016/j.physletb.2004.08.066

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