Publication: Quasi-exactly solvable n-body spin hamiltonians with short-ange interaction potentials
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2006-11-03
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Institute of Mathematics of National Academy of Science of Ukraine
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Abstract
We review some recent results on quasi-exactly solvable spin models presenting near-neighbors interactions. These systems can be understood as cyclic generalizations of the usual Calogero-Sutherland models. A nontrivial modification of the exchange operator formalism is used to obtain several infinite families of eigenfunctions of these models in closed form.
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©Institute of Mathematics of National Academy of Science of Ukraine.
This work was partially supported by the DGI under grant no. FIS2005-00752. A.E. acknowledges the financial support of the Spanish Ministry of Education through an FPU scholarship.
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