Mapping the Calogero model on the Anyon model
Mathematical Physics
2020-03-06 v2 Statistical Mechanics
High Energy Physics - Theory
math.MP
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.
Keywords
Cite
@article{arxiv.1805.09899,
title = {Mapping the Calogero model on the Anyon model},
author = {Stephane Ouvry and Alexios Polychronakos},
journal= {arXiv preprint arXiv:1805.09899},
year = {2020}
}
Comments
Version to appear in Nuclear Physics B: clarifications and references added, name of one author corrected