Schrödinger spectrum generated by the Cornell potential

• Autorzy: Richard L. Hall , Nasser Saad
• Języki publikacji: EN

Abstrakty

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.

Słowa kluczowe

EN

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

• Czasopismo: Open Physics
• Rocznik: 2015
• Tom: 13
• Numer: 1

Daty

wydano

2015-01-01

otrzymano

2014-05-09

zaakceptowano

2014-08-12

online

2014-10-28

Twórcy

autor

Richard L. Hall

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

autor

Nasser Saad

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

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Identyfikatory

DOI

10.1515/phys-2015-0012