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arXiv · 1805.09899

Mapping the Calogero model on the Anyon model

Stephane Ouvry·Alexios Polychronakos
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Abstract

We explicitly map the N-body one dimensional Calogero eigenstates in a harmonic well to the lowest Landau level sector of N-body eigenstates of the two dimensional anyon model in a harmonic well. The mapping is achieved in terms of a convolution kernel that uses as input the scattering eigenstates of the free Calogero model on the infinite line, which are obtained in an operator formulation.

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Stephane Ouvry, Alexios Polychronakos. 2018-09-15. Mapping the Calogero model on the Anyon model. https://doi.org/10.1016/j.nuclphysb.2018.09.011

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