Effects of external fields on two-dimensional Klein-Gordon particle under pseudoharmonic oscillator interaction

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 subjects 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.

13 pages, to appear in Chinese Physics B (2012). arXiv admin note: text overlap with arXiv:hep-th/0503208

References in corpus (4)

• Exact solution of Schrodinger equation for Pseudoharmonic potential
• Solution of the D-dimensional Klein-Gordon equation with equal scalar and vector ring-shaped pseudoharmonic potential
• Exact solutions of the radial Schrodinger equation for some physical potentials
• Exact Solution of Dirac Equation with Charged Harmonic Oscillator in Electric Field: Bound States