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arxiv: hep-th/0201001 · v1 · submitted 2002-01-01 · ✦ hep-th

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Integrable Heisenberg-van Vleck chains with variable range exchange

V.I.Inozemtsev
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classification ✦ hep-th
keywords chainsexchangequantumattentionbethe-ansatzcalogero-sutherland-moserclassicalconnection
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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.

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  1. The quantum group structure of long-range integrable deformations

    math-ph 2026-04 unverdicted novelty 7.0

    Long-range deformations of arbitrary homogeneous Yang-Baxter integrable spin chains are realized as twists of the quantum group, with the Drinfeld associator encoding the long-range interaction terms up to first order...