The Hahn polynomials in the nonrelativistic and relativistic Coulomb problems

Details The Hahn polynomials in the nonrelativistic and relativistic Coulomb problems The Hahn polynomials in the nonrelativistic and relativistic Coulomb problems

2007-07-12

arxiv.org/abs/0707.1887v3

Physics

Quantum Physics

53 pages, no figures

Scientific paper

10.1063/1.2830804

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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