Repositorio de producción científica de la Universidad de Sevilla

Factorization of the hypergeometric-type difference equation on the non-uniform lattices: dynamical algebra

 

Advanced Search
 
Opened Access Factorization of the hypergeometric-type difference equation on the non-uniform lattices: dynamical algebra
Cites

Show item statistics
Icon
Export to
Author: Álvarez Nodarse, Renato
Atakishiyev Mektiyev, Natig
Costas Santos, Roberto Santiago
Department: Universidad de Sevilla. Departamento de Análisis Matemático
Date: 2005-01-07
Published in: Journal of Physics. A, Mathematical and general, 38 (1), 153-174.
Document type: Article
Abstract: We argue that one can factorize the difference equation of hypergeometric type on the nonuniform lattices in general case. It is shown that in the most cases of q-linear spectrum of the eigenvalues this directly leads to the dynamical symmetry algebra suq(1, 1), whose generators are explicitly constructed in terms of the difference operators, obtained in the process of factorization. Thus all models with the q-linear spectrum (some of them, but not all, previously considered in a number of publications) can be treated in a unified form.
Cite: Álvarez Nodarse, R., Atakishiyev Mektiyev, N. y Costas Santos, R.S. (2005). Factorization of the hypergeometric-type difference equation on the non-uniform lattices: dynamical algebra. Journal of physics. A, Mathematical and general, 38 (1), 153-174.
Size: 243.7Kb
Format: PDF

URI: http://hdl.handle.net/11441/41754

DOI: http://dx.doi.org/10.1088/0305-4470/38/1/011

This work is under a Creative Commons License: 
Attribution-NonCommercial-NoDerivatives 4.0 Internacional

This item appears in the following Collection(s)