Exchange operator formalism for N-body spin models with near-neighbors interactions

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We present a detailed analysis of the spin models with near-neighbors interactions constructed in our previous paper [Phys. Lett. B 605 (2005) 214] by a suitable generalization of the exchange operator formalism. We provide a complete description of a certain flag of finite-dimensional spaces of spin functions preserved by the Hamiltonian of each model. By explicitly diagonalizing the Hamiltonian in the latter spaces, we compute several infinite families of eigenfunctions of the above models in closed form in terms of generalized Laguerre and Jacobi polynomials.
RevTeX, 31 pages, no figures; important additional content

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Exactly Solvable and Integrable Systems, High Energy Physics - Theory, Mathematical Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/176794

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0604073
 http://arxiv.org/abs/nlin/0604073
 J.Phys.A40:1857-1884,2007
 doi:10.1088/1751-8113/40/8/012

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