The Hahn polynomials in the nonrelativistic and relativistic Coulomb problems
Quantum Physics
2009-11-13 v3
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.
Keywords
Cite
@article{arxiv.0707.1887,
title = {The Hahn polynomials in the nonrelativistic and relativistic Coulomb problems},
author = {Sergei K. Suslov and Benjamin Trey},
journal= {arXiv preprint arXiv:0707.1887},
year = {2009}
}
Comments
53 pages, no figures