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Advances in High Energy Physics
Volume 2013 (2013), Article ID 491648, 10 pages
http://dx.doi.org/10.1155/2013/491648
Research Article

Relativistic Bound States of Spinless Particle by the Cornell Potential Model in External Fields

1Department of Physics, Faculty of Science, An-Najah National University, Nablus, West Bank, Palestine
2Department of Electrical and Electronic Engineering, Near East University, 922022 Nicosia, Northern Cyprus, Turkey

Received 7 May 2013; Accepted 4 August 2013

Academic Editor: Ira Rothstein

Copyright © 2013 Sameer M. Ikhdair. 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.

Abstract

The two-dimensional (2D) relativistic bound states of a spinless particle placed in scalar and vector Cornell potentials (with ) are obtained under the influence of external magnetic and Aharonov-Bohm (AB) flux fields using the wave function ansatz method. The relativistic energy eigenvalues and wave functions are found for any arbitrary state with principal and magnetic quantum numbers. Further, we obtain the eigensolutions in any dimensional space without external fields. We also find the relativistic and nonrelativistic bound states for Coulomb, harmonic oscillator, and Kratzer potentials.