The Hahn polynomials in the nonrelativistic and relativistic Coulomb problems

Sergei Suslov, Benjamin Trey

Research output: Contribution to journalArticle

16 Scopus citations

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 languageEnglish (US)
Article number012104
JournalJournal of Mathematical Physics
Volume49
Issue number1
DOIs
StatePublished - Feb 7 2008

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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