Relativistic effect of external magnetic and Aharonov-Bohm fields on the unequal scalar and vector Cornell model

Ali Akbar Rajabi; Majid Hamzavi

doi:10.1140/epjp/i2013-13005-5

EPJ

Relativistic effect of external magnetic and Aharonov-Bohm fields on the unequal scalar and vector Cornell model

Ali Akbar Rajabi and Majid Hamzavi^*

Physics Department, Shahrood University of Technology, Shahrood, Iran

Received: 14 November 2012
Revised: 18 December 2012
Accepted: 19 December 2012
Published online: 14 January 2013

Abstract

The Cornellpotential consists of linear and Coulomb potentials, i.e. −a/r+br, and has attracted a great deal of attention in particle physics. In this article, we study the energy levels and the wave function for an arbitrary m-state in the two-dimensional (2D) Klein-Gordon (KG) equation with the unequal scalar-vector Cornell potentials under the influence of strong external uniform magnetic and Aharonov-Bohm (AB) flux fields perpendicular to the plane where the interacting particles are confined. We use the wave function ansatz method to solve the radial problem of the KG equation with the Cornell potential. We obtain the energy levels in the absence of external fields and also find the energy levels of the familiar Coulomb and harmonic oscillator potentials.