Exact solutions of the Klein–Gordon equation with ring-shaped oscillator potential by using the Laplace integral transform

doi:10.1088/1674-1056/21/7/070303

Abstract We present exact solutions for the Klein--Gordon equation with a ring-shaped oscillator potential. The energy eigenvalues and the normalized wave functions are obtained for a particle in the presence of non-central oscillator potential. The angular functions are expressed in terms of the hypergeometric functions. The radial eigenfunctions have been obtained by using the Laplace integral transform. By means of the Laplace transform method, which is efficient and simple, the radial Klein--Gordon equation is reduced to a first-order differential equation.

Keywords: ring-shaped oscillator Klein--Gordon equation Laplace integral transform bound states

Received: 29 November 2011
Revised: 03 January 2012
Accepted manuscript online:

PACS:	03.65.Ge	(Solutions of wave equations: bound states)
	03.65.Pm	(Relativistic wave equations)

Corresponding Authors: Sami Ortakaya
E-mail: samiortakaya@gmail.com

Cite this article:

Sami Ortakaya Exact solutions of the Klein–Gordon equation with ring-shaped oscillator potential by using the Laplace integral transform 2012 Chin. Phys. B 21 070303

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Exact solutions of the Klein–Gordon equation with ring-shaped oscillator potential by using the Laplace integral transform

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