The Hahn polynomials in the nonrelativistic and relativistic Coulomb problems

2007/07/31 by Sergei K. Suslov, Benjamin Trey · 1 citation
Physics and Astronomy · #quant-ph

paper · pdf · doi:10.1063/1.2830804

53 pages, no figures

arxiv created 2007/12/27 · arxiv updated 2009/12/01

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.

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