Effects of external fields on two-dimensional Klein–Gordon particle under pseudo-harmonic oscillator interaction

doi:10.1088/1674-1056/21/11/110302

Abstract We study the effects of the perpendicular magnetic and Aharonov-Bohm (AB) flux fields on the energy levels of a two-dimensional (2D) Klein-Gordon (KG) particle subjected to equal scalar and vector pseudo-harmonic oscillator (PHO). We calculate the exact energy eigenvalues and normalized wave functions in terms of chemical potential parameter, magnetic field strength, AB flux field, and magnetic quantum number by means of the Nikiforov-Uvarov (NU) method. The non-relativistic limit, PHO, and harmonic oscillator solutions in the existence and absence of external fields are also obtained.

Keywords: Klein-Gordon equation two-dimensional pseudo-harmonic oscillator (PHO) potential magnetic and Aharonov-Bohm (AB) flux fields Nikiforov-Uvarov method

Received: 05 April 2012
Revised: 02 May 2012
Accepted manuscript online:

PACS:	03.65.-w	(Quantum mechanics)
	03.65.Pm	(Relativistic wave equations)
	03.65.Ge	(Solutions of wave equations: bound states)

Corresponding Authors: Majid Hamzavi
E-mail: majid.hamzavi@gmail.com

Cite this article:

Sameer M. Ikhdair, Majid Hamzavi Effects of external fields on two-dimensional Klein–Gordon particle under pseudo-harmonic oscillator interaction 2012 Chin. Phys. B 21 110302

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Effects of external fields on two-dimensional Klein–Gordon particle under pseudo-harmonic oscillator interaction

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