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

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

2010-03-25

arxiv.org/abs/1003.4853v1

J. Phys. A: Math. Gen. 38 (2005), 153-174

Mathematics

Classical Analysis and ODEs

22 pages,

Scientific paper

10.1088/0305-4470/38/1/011

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 $su_q(1,1)$, 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.

Affiliated with

Also associated with

No associations

Rating

Factorization of the hypergeometric-type difference equation on the non-uniform lattices: dynamical algebra does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Factorization of the hypergeometric-type difference equation on the non-uniform lattices: dynamical algebra, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Factorization of the hypergeometric-type difference equation on the non-uniform lattices: dynamical algebra will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-556193