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

Jeong-Hyuck Park
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Abstract

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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Jeong-Hyuck Park. 2002-10-30. Description of identical particles via gauged matrix models : a generalization of the Calogero-Sutherland system. https://doi.org/10.1016/s0375-9601(02)01547-5

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