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On the degree conjecture for separability of multipartite quantum states
We settle the so-called degree conjecture for the separability of multipartite quantum states, which are normalized graph Laplacians, first given by Braunstein et al. [Phys. Rev. A 73, 012320 (2006)]....

The Hahn polynomials in the nonrelativistic and relativistic Coulomb problems

J. Math. Phys. 49, 012104 (2008); doi:10.1063/1.2830804

Published 22 January 2008

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Sergei K. Suslov
Department of Mathematics and Statistics, Arizona State University, Tempe, Arizona 85287, USA

Benjamin Trey
Department of Physics and Astronomy, University of Hawaii at Manoa, 2505 Correa Road, Honolulu, Hawaii 96822, USA
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. ©2008 American Institute of Physics
History: Received 17 October 2007; accepted 11 December 2007; published 22 January 2008
Permalink: http://link.aip.org/link/?JMAPAQ/49/012104/1
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KEYWORDS and PACS

Keywords
PACS
  • 03.65.Ge
    Solutions of wave equations: bound states in quantum mechanics
  • 03.65.Pm
    Relativistic wave equations in quantum mechanics
  • YEAR: 2008

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0022-2488 (print)   1089-7658 (online)
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