Mapping the Calogero model on the Anyon model

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.

Version to appear in Nuclear Physics B: clarifications and references added, name of one author corrected

References in corpus (2)

• Physics and Mathematics of Calogero particles
• On polynomials interpolating between the stationary state of a O(n) model and a Q.H.E. ground state

Cited by in corpus (7)

• Anyons on the sphere: analytic states and spectrum
• Finite Temperature Off-Diagonal Long-Range Order for Interacting Bosons
• Exclusion statistics for particles with a discrete spectrum
• Two anyons on the sphere: nonlinear states and spectrum
• Thermodynamics of Statistical Anyons
• Exact four-point function and OPE for an interacting quantum field theory with space/time anisotropic scale invariance
• $T\bar{T}$ deformation of Calogero-Sutherland model via dimensional reduction