The Hahn polynomials in the nonrelativistic and relativistic Coulomb problems

Abstract

We derive closed formulas for mean values of all powers of r in nonrelativistic and relativistic Coulomb problems in terms of the Hahn and Chebyshev polynomials of a discrete variable. A short review on special functions and solution of the Coulomb problems in quantum mechanics is given.

arXiv comment53 pages, no figures

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