Second order q-difference equations solvable by factorization method

Details Second order q-difference equations solvable by factorization method Second order q-difference equations solvable by factorization method

2003-12-22

arxiv.org/abs/math-ph/0312057v1

Physics

Mathematical Physics

21 pages

Scientific paper

By solving an infinite nonlinear system of $q$-difference equations one
constructs a chain of $q$-difference operators. The eigenproblems for the chain
are solved and some applications, including the one related to $q$-Hahn
orthogonal polynomials, are discussed. It is shown that in the limit q->1 the
present method corresponds to the one developed by Infeld and Hull.

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