Integrability of the Quantum Calogero-Moser Model

Abstract

The integrability of the quantum Calogero-Moser model is proved through the quantum inverse scattering method. By use of the Lax operator L , a new formula for the conserved operators is found. The formula suggests that Tr L n , which are conserved in the classical case, are not necessarily conserved operators. The Hénon-type conserved operators are also presented.