Fock Spaces for the Calogero Models with Distinguishable Particles

Abstract

We present the creation, annihilation and number operators for theA_N-1- and B_N-Calogero models with distinguishable particles.In a parallel way to the construction of the Fock space of the quantumharmonic oscillators, we construct the Fock spaces as the simultaneouseigenfunctions of the number operators for the Calogero models.Relationships between the Fock spaces and the knownnonsymmetric orthogonal bases, which are spanned by the variants ofthe Jack polynomials, are presented.