One-dimensional quantum particle system with spins is considered. The Hamiltonian of the system (Calogero-Moser spin system) is [formula omitted] where pj= -ia/Oxj and oj i's the Pauli spin operator associated withJ'-th particle. We prove the integrability of the model through the quantum inverse s attering 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.
All Science Journal Classification (ASJC) codes
- General Physics and Astronomy