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arXiv · 0707.1887

The Hahn polynomials in the nonrelativistic and relativistic Coulomb problems

Sergei K. Suslov·Benjamin Trey
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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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Sergei K. Suslov, Benjamin Trey. 2007-12-27. The Hahn polynomials in the nonrelativistic and relativistic Coulomb problems. https://doi.org/10.1063/1.2830804

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