Integrability of Calogero-Moser Spin System

抄録

One-dimensional quantum particle system with spins is considered. The Hamiltonian of the system (Calogero-Moser spin system) is
(Remark: Graphics omitted.)
where p_j=−i∂⁄∂x_j and σ_j is the Pauli spin operator associated with j-th particle. We prove the integrability of the model through the quantum inverse scattering method. By introducing the annihilation and creation-like operators from the Lax operator, we construct the ground state. The wave function is of Jastrow-type. Further, we discuss a generalization of the model to SU(M) spin case.