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 -