Calogero Models for Distinguishable Particles

Cyril Furtlehner 1, Stephane Ouvry 1

Modern Physics Letters B 9 (1995) 503-509

Motivated by topological bidimensional quantum models for distinguishable particles, and by Haldane\'s definition of mutual statistics for different species of particles, we propose a new class of one-dimensional $1/r_{ij}^2$ Calogero model with coupling constants $g_{ij}$ depending on the labels of the particles. We solve the groundstate problem, and show how to build some classes of excited states.

  • 1. Division de Physique Théorique, IPN,
    Université Paris XI - Paris Sud