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Advances in High Energy Physics
Volume 2013 (2013), Article ID 562959, 11 pages
Research Article

Relativistic Two-Dimensional Harmonic Oscillator Plus Cornell Potentials in External Magnetic and AB Fields

1Department of Physics, Faculty of Science, An-Najah National University, P.O. Box 7, Nablus, 400 West Bank, Palestine
2Department of Electrical and Electronic Engineering, Near East University, 922022 Nicosia, Northern Cyprus, Turkey
3Department of Physics, Middle East Technical University, 06531 Ankara, Turkey

Received 13 June 2013; Accepted 7 September 2013

Academic Editor: Shi-Hai Dong

Copyright © 2013 Sameer M. Ikhdair and Ramazan Sever. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The Klein-Gordon (KG) equation for the two-dimensional scalar-vector harmonic oscillator plus Cornell potentials in the presence of external magnetic and Aharonov-Bohm (AB) flux fields is solved using the wave function ansatz method. The exact energy eigenvalues and the wave functions are obtained in terms of potential parameters, magnetic field strength, AB flux field, and magnetic quantum number. The results obtained by using different Larmor frequencies are compared with the results in the absence of both magnetic field ( = 0) and AB flux field () cases. Effect of external fields on the nonrelativistic energy eigenvalues and wave function solutions is also precisely presented. Some special cases like harmonic oscillator and Coulombic fields are also studied.