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Open Physics

formerly Central European Journal of Physics

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Volume 13, Issue 1


Volume 13 (2015)

Schrödinger spectrum generated by the Cornell potential

Richard L. Hall
  • Corresponding author
  • Department of Mathematics and Statistics, Concordia University, 1455 de Maisonneuve Boulevard West, Montréal, Québec, Canada
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/ Nasser Saad
  • Department of Mathematics and Statistics, University of Prince Edward Island, 550 University Avenue, Charlottetown, PEI, Canada
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Published Online: 2014-10-28 | DOI: https://doi.org/10.1515/phys-2015-0012


The eigenvalues Ednl (a, c) of the d-dimensional Schrödinger equation with the Cornell potential V(r) = −a/r + c r, a, c > 0 are analyzed by means of the envelope method and the asymptotic iteration method (AIM). Scaling arguments show that it is suffcient to know E(1, λ), and the envelope method provides analytic bounds for the equivalent complete set of coupling functions λ(E). Meanwhile the easily-implemented AIM procedure yields highly accurate numerical eigenvalues with little computational effort.

Keywords : quarkonium; quark-antiquark bound states; confining potentials; Schrödinger’s equation; asymptotic iteration method; Airy functions

PACS : 03.65.Ge; 12.39.Pn; 11.10.Qr; 12.40.Qq; 14.40.Gx; 14.40.Jz


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About the article

Received: 2014-05-09

Accepted: 2014-08-12

Published Online: 2014-10-28

Published in Print: 2015-01-01

Citation Information: Open Physics, Volume 13, Issue 1, ISSN (Online) 2391-5471, DOI: https://doi.org/10.1515/phys-2015-0012.

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© 2015 Richard L. Hall, Nasser Saad. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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