ArXiv.org · 2002 · 34 citations · 1 references
Natural SciencesMathematicsPhysicsCondensed Matter PhysicsMathematical PhysicsQuantum MechanicsExchange InteractionsIntegrable SystemsLow-dimensional SystemsBethe AnsatzCalogero - Moser SystemsExchange HamiltonianExchange Interactions In Heisenberg ModelsHeisenberg Exchange InteractionHeisenberg ModelQuantum Integrable SystemsSpin Chains
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.
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