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

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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.

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Authors and Affiliations

  1. Department of Physics, Faculty of Arts and Sciences, Bitlis Eren University, 13000, Bitlis, Turkey

    M. Aygun

  2. Department of Physics, Faculty of Sciences, Akdeniz University, 07058, Antalya, Turkey

    O. Bayrak & I. Boztosun

  3. Department of Physics, Faculty of Sciences, Ataturk University, 25240, Erzurum, Turkey

    Y. Sahin

Authors
  1. M. Aygun
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  2. O. Bayrak
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  3. I. Boztosun
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  4. Y. Sahin
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Correspondence to M. Aygun.

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Aygun, M., Bayrak, O., Boztosun, I. et al. The energy eigenvalues of the Kratzer potential in the presence of a magnetic field. Eur. Phys. J. D 66, 35 (2012). https://doi.org/10.1140/epjd/e2011-20319-5

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  • DOI: https://doi.org/10.1140/epjd/e2011-20319-5

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