Integrable Heisenberg-van Vleck chains with variable range exchange
Abstract
The review of recent results in the s=1/2 quantum spin chains with 1/\sinh^2(\kappa r exchange is presented. Related problems in the theory of classical and quantum Calogero-Sutherland-Moser systems with inverse square hyperbolic and elliptic potentials are discussed. The attention is paid to finding the explicit form of corresponding Bethe-Ansatz equations and to connection with generalized Hubbard chains in one dimension.