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

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dc.creatorEnciso, A.
dc.creatorFinkel, F.
dc.creatorGonzalez-Lopez, A.
dc.creatorRodriguez, M. A.
dc.date2006-04-27
dc.date2007-04-24
dc.date.accessioned2026-07-07T10:26:11Z
dc.date.available2026-07-07T10:26:11Z
dc.descriptionWe 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.
dc.descriptionRevTeX, 31 pages, no figures; important additional content
dc.identifierhttps://arxiv.org/abs/nlin/0604073
dc.identifierhttp://arxiv.org/abs/nlin/0604073
dc.identifierJ.Phys.A40:1857-1884,2007
dc.identifierdoi:10.1088/1751-8113/40/8/012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/176794
dc.subjectExactly Solvable and Integrable Systems
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleExchange operator formalism for N-body spin models with near-neighbors interactions
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