Spin- 1 2 particle systems with long-range interactions are considered in one-dimensional space. Conditions for the integrability of the systems are shown through the quantum inverse scattering method. Among the solutions, integrable spin particle systems, which we call the XXZ-type model and the Ising-type model, are newly found. A set of conserved operators is obtained from the Lax operator. Further, the ground state is shown to be the solution of a Knizhnik-Zamolodchikov-like equation.
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)