Description of identical particles via gauged matrix models : a generalization of the Calogero-Sutherland system

Details Description of identical particles via gauged matrix models : a generalization of the Calogero-Sutherland system Description of identical particles via gauged matrix models : a generalization of the Calogero-Sutherland system

2002-03-02

arxiv.org/abs/hep-th/0203017v2

Phys.Lett. A307 (2003) 183-188

Physics

High Energy Physics

High Energy Physics - Theory

1+10 pages, No figure, LaTeX; a reference added, title changed slightly, minor correction, to appear in Phys. Lett. A

Scientific paper

10.1016/S0375-9601(02)01547-5

We elaborate the idea that the matrix models equipped with the gauge symmetry provide a natural framework to describe identical particles. After demonstrating the general prescription, we study an exactly solvable harmonic oscillator type gauged matrix model. The model gives a generalization of the Calogero-Sutherland system where the strength of the inverse square potential is not fixed but dynamical bounded by below.

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