AbstractThe Haldane--Shastry spin chain has long-range interactions and remarkable properties including Yangian symmetry at finite length and explicit highest-weight wave functions featuring Jack polynomials. This stems from the trigonometric spin-Calogero--Sutherland model, which is intimately related to affine Hecke algebras, already enjoys these properties from affine Schur–Weyl duality and...
AbstractApplying the recently developed method-the off-diagonal Bethe ansatz method, we construct theexact solutions of the Heisenberg spin chain with various boundary conditions. The results allow usto calculate the boundary energy of the system in the thermodynamic limit. The method used herecan be generalized to study the thermodynamic properties and boundary energy of other high rankmodels ...
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