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.
Original language | English (US) |
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Article number | 012104 |
Journal | Journal of Mathematical Physics |
Volume | 49 |
Issue number | 1 |
DOIs | |
State | Published - 2008 |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics