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



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Enciso, Alberto and Finkel Morgenstern, Federico and González López, Artemio and Rodríguez González, Miguel Ángel (2007) Exchange operator formalism for N-body spin models with near-neighbours interactions. Journal of physics A: Mathematical and theoretical, 40 (8). pp. 1857-1883. ISSN 1751-8113

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We present a detailed analysis of the spin models with near-neighbours interactions constructed in our previous paper (Enciso et al 2005 Phys. Lett. B 605 214) 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.

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©IOP Publishing Ltd.
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

Uncontrolled Keywords:Calogero–Sutherland models; Exchange operators; Quasi-exact solvability
Subjects:Sciences > Physics > Physics-Mathematical models
Sciences > Physics > Mathematical physics
ID Code:31356
Deposited On:14 Jul 2015 15:35
Last Modified:10 Dec 2018 15:09

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