Title Factorization of the hypergeometric-type difference equation on non-uniform lattices: dynamical algebra
Authors Alvarez-Nodarse, R , Atakishiyev, NM , COSTAS SANTOS, ROBERTO SANTIAGO
External publication Si
Means J. Phys. Math. Gen.
Scope Article
Nature Científica
JCR Quartile 2
JCR Impact 1.56600
Web https://www.scopus.com/inward/record.uri?eid=2-s2.0-12144271638&doi=10.1088%2f0305-4470%2f38%2f1%2f011&partnerID=40&md5=c60e1b7e232c487d3779f785a64054ef
Publication date 07/01/2005
ISI 000226648800014
Scopus Id 2-s2.0-12144271638
DOI 10.1088/0305-4470/38/1/011
Abstract We argue that one can factorize the difference equation of hypergeometric type on non-uniform lattices in the 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 su(q)(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.
Universidad Loyola members

Change your preferences Manage cookies