TY - JOUR DO - 10.1088/0305-4470/38/1/011 UR - http://dx.doi.org/10.1088/0305-4470/38/1/011 TI - Factorization of the hypergeometric-type difference equation on non-uniform lattices: dynamical algebra T2 - Journal of Physics A: Mathematical and General AU - Álvarez-Nodarse, R AU - Atakishiyev, N M AU - Costas-Santos, R S PY - 2004 DA - 2004/12/09 PB - IOP Publishing SP - 153-174 IS - 1 VL - 38 SN - 0305-4470 SN - 1361-6447 AB - 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 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. ER -