Effects of external fields on two-dimensional Klein-Gordon particle under pseudoharmonic oscillator interaction
Quantum Physics
2012-12-10 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1205.4141,
title = {Effects of external fields on two-dimensional Klein-Gordon particle under pseudoharmonic oscillator interaction},
author = {Sameer M. Ikhdair and Majid Hamzavi},
journal= {arXiv preprint arXiv:1205.4141},
year = {2012}
}
Comments
13 pages, to appear in Chinese Physics B (2012). arXiv admin note: text overlap with arXiv:hep-th/0503208