Eur. Phys. J. D (2012) 66: 35
https://doi.org/10.1140/epjd/e2011-20319-5

Regular Article

The energy eigenvalues of the Kratzer potential in the presence of a magnetic field

¹ Department of Physics, Faculty of Arts and Sciences, Bitlis Eren University, 13000 Bitlis, Turkey
² Department of Physics, Faculty of Sciences, Akdeniz University, 07058 Antalya, Turkey
³ Department of Physics, Faculty of Sciences, Ataturk University, 25240 Erzurum, Turkey

^a e-mail: maygun@atauni.edu.tr

Received: 28 May 2011
Received in final form: 13 September 2011
Published online: 16 February 2012

Abstract

Two dimensional solution of the Schrödinger equation for the Kratzer potential with and without the presence of a constant magnetic field is investigated within the framework of the asymptotic iteration method. The energy eigenvalues are analytically obtained for the absence of the magnetic field case. However, in the presence of a constant magnetic field, the energy eigenvalues are calculated numerically using the same method. The results obtained by using different Larmor frequencies and potential parameters are compared with the results of the absence of the magnetic field case (ω_L = 0). Effect of the magnetic field on the energy eigenvalues of the Kratzer potential is precisely presented.