The nonrelativistic oscillator strength of a hyperbolic-type potential

doi:10.1088/1674-1056/22/6/060202

Abstract We consider the D-dimensional Schrödinger equation under the hyperbolic potential V₀ (1-coth (αr)) +V₁ (1-coth (αr))². Using a Pekeris-type approximation, the approximate analytical solutions of the problem are obtained via the supersymmetric quantum mechanics. The behaviors of energy eigenvalues versus dimension are discussed for various quantum numbers. Useful expectation values as well as the oscillator strength are obtained.

Keywords: Schrödinger equation D-dimensional space hyperbolic potential supersymmetry quantum mechanics oscillator strength

Received: 09 September 2012
Revised: 14 November 2012
Accepted manuscript online:

PACS:	02.30.Gp	(Special functions)
	03.65.-w	(Quantum mechanics)
	03.65.Ge	(Solutions of wave equations: bound states)
	34.20.Cf	(Interatomic potentials and forces)

Corresponding Authors: B. H. Yazarloo
E-mail: hoda.yazarloo@gmail.com

Cite this article:

H. Hassanabadi, S. Zarrinkamar, B. H. Yazarloo The nonrelativistic oscillator strength of a hyperbolic-type potential 2013 Chin. Phys. B 22 060202

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