Integrable Heisenberg-van Vleck chains with variable range exchange
Abstract
Description
The review of recent results in the s=1/2 quantum spin chains with $1/\sinh^2(κr$ 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.
47 pages LaTex, review paper, to appear in Physics of Particles and Nuclei
47 pages LaTex, review paper, to appear in Physics of Particles and Nuclei