Non-relativistic analytical solutions of the Kratzer potential for a perturbed system in a magnetic field
Department of Basic Sciences, Faculty of Maritime, Mersin University, Mersin, Turkey
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Accepted: 29 August 2019
Published online: 23 September 2019
Non-relativistic analytical solutions of a quantum mechanical system, perturbed by an external magnetic field, are obtained for the case of Kratzer potential. Such problem is a kind of Landau problem named “Kratzer-Landau problem” due to the presence of the magnetic field. Paying attention to hyperspherical coordinates, an analytical formula for the Landau levels is achieved dealing with Schrödinger equation by using the perturbation method in the frame of the asymptotic iteration method. The analytical formula obtained is also tested by numerically cross-checking the energy eigenvalues with those of the literature in two dimensions (polar coordinates). Moreover, effects of the parameters, such as magnetic field strength and azimuthal angle (in three dimensions), on the eigenvalues are presented.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2019