Schrödinger spectrum generated by the Cornell potential

• Authors: Richard L. Hall , Nasser Saad
• Languages of publication: EN

Abstracts

EN

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

EN

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

Discipline

• 03.65.Ge: Solutions of wave equations: bound states
• 12.39.Pn: Potential models

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2015
• Volume: 13
• Issue: 1

Dates

published

1 - 1 - 2015

accepted

12 - 8 - 2014

online

28 - 10 - 2014

received

9 - 5 - 2014

Contributors

author

Richard L. Hall

• Department of Mathematics and Statistics, Concordia University, 1455 de Maisonneuve Boulevard West, Montréal, Québec, Canada

author

Nasser Saad

• Department of Mathematics and Statistics, University of Prince Edward Island, 550 University Avenue, Charlottetown, PEI, Canada

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Identifiers

DOI

10.1515/phys-2015-0012