RT Journal Article
T1 Exchange operator formalism for N-body spin models with near-neighbours interactions
A1 Enciso, Alberto
A1 Finkel Morgenstern, Federico
A1 González López, Artemio
A1 Rodríguez González, Miguel Ángel
AB 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.
PB IOP Publishing Ltd
SN 1751-8113
YR 2007
FD 2007-02-23
LK https://hdl.handle.net/20.500.14352/51497
UL https://hdl.handle.net/20.500.14352/51497
LA eng
NO ©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
NO DGI, Spain
NO Spanish Ministry of Education
DS Docta Complutense
RD 6 abr 2025