RT Journal Article
T1 Solvable scalar and spin models with near-neighbors interactions
A1 Enciso, A.
A1 Finkel Morgenstern, Federico
A1 González López, Artemio
A1 Rodríguez González, Miguel Ángel
AB 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.
PB Elsevier Science BV
SN 0370-2693
YR 2005
FD 2005-01-06
LK https://hdl.handle.net/20.500.14352/51549
UL https://hdl.handle.net/20.500.14352/51549
LA eng
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NO ©2004 Elsevier B.V.This work was partially supported by the Spanish DGI under grant No. BFM2002-02646. A.E. acknowledges the financial support of the Spanish Ministry of Education through an FPU scholarship
NO DGI, Spain
NO Ministry of Education, Spain
DS Docta Complutense
RD 1 may 2024