English

Integrable Heisenberg-van Vleck chains with variable range exchange

High Energy Physics - Theory 2007-05-23 v1

Abstract

The review of recent results in the s=1/2 quantum spin chains with 1/sinh2(κr1/\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.

Keywords

Cite

@article{arxiv.hep-th/0201001,
  title  = {Integrable Heisenberg-van Vleck chains with variable range exchange},
  author = {V. I. Inozemtsev},
  journal= {arXiv preprint arXiv:hep-th/0201001},
  year   = {2007}
}

Comments

47 pages LaTex, review paper, to appear in Physics of Particles and Nuclei