Relativistic solutions for diatomic molecules subject to pseudoharmonic oscillator in arbitrary dimensions

doi:10.1088/1674-1056/22/7/070303

Abstract The exact solutions of the N-dimensional Klein-Gordon equation in the presence of an exactly solvable potential of V(r) = D_e(r/r_e-r_e/r)² type have been obtained. The N dimensional Klein-Gordon equation has been reduced to a first-order differential equation via Laplace transformation. The exact bound state energy eigenvalues and corresponding wave functions for CH, H₂, and HCl molecules interacting with pseudoharmonic oscillator potential in the arbitrary N dimensions have been determined. Bound state eigenfunctions used in applications related to molecular spectroscopy are obtained in terms of confluent hypergeometric functions.

Keywords: Klein-Gordon equation Laplace integral transform bound states

Received: 07 September 2012
Revised: 03 December 2012
Accepted manuscript online:

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

Corresponding Authors: Sami Ortakaya
E-mail: sami.ortakaya@yahoo.com

Cite this article:

Sami Ortakaya Relativistic solutions for diatomic molecules subject to pseudoharmonic oscillator in arbitrary dimensions 2013 Chin. Phys. B 22 070303

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Relativistic solutions for diatomic molecules subject to pseudoharmonic oscillator in arbitrary dimensions

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