Archive ouverte HAL – Mapping the Calogero model on the Anyon model

Stéphane Ouvry ¹ Alexios P. Polychronakos

Nucl.Phys.B, 2018, 936, pp.189-205. 〈10.1016/j.nuclphysb.2018.09.011〉

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.

• 1. LPTMS – Laboratoire de Physique Théorique et Modèles Statistiques