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oai:docta.ucm.es:20.500.14352/515492023-08-27T05:26:48Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense author Enciso, A. author Finkel Morgenstern, Federico author González López, Artemio author Rodríguez González, Miguel Ángel 2023-06-20T10:58:53Z 2023-06-20T10:58:53Z 2005-01-06 0370-2693 10.1016/j.physletb.2004.11.031 https://hdl.handle.net/20.500.14352/51549 http://dx.doi.org/10.1016/j.physletb.2004.11.031 http://www.sciencedirect.com We construct new solvable rational and trigonometric spin models with near-neighbors interactions by an extension of the Dunkl operator formalism. In the trigonometric case we obtain a finite number of energy levels in the center of mass frame, while the rational models are shown to possess an equally spaced infinite algebraic spectrum. For the trigonometric and one of the rational models, the corresponding eigenfunctions are explicitly computed. We also study the scalar reductions of the models, some of which had already appeared in the literature, and compute their algebraic eigenfunctions in closed form. In the rational cases, for which only partial results were available, we give concise expressions of the eigenfunctions in terms of generalized Laguerre and Jacobi polynomials. eng Atribución 3.0 España Solvable scalar and spin models with near-neighbors interactions journal article URL https://docta.ucm.es/bitstreams/aea1f789-5656-4098-874c-b89fd94fbceb/download File MD5 143a75b12153241117bc2e42bf44f8b2 160213 application/pdf gonzalezlopez22libre.pdf