Event: Conference on Difference Equations, Special Functions and Applications
Venue: Munich University of Technology, Germany
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.
|T2_OPSFA08.pdf||260 KB||Slides (PDF, 43 pages, 15 slides)|