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Exact solutions for a quantum ring with a dipolar impurity

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Abstract

We study analytically the Schrödinger equation for a system made up of a quantum ring with a dipolar impurity under the effect of an Aharonov–Bohm field, and we choose the pseudoharmonic oscillator as a confinement potential. We calculate the exact values of the energies and we also get the exact expressions of the wave functions. We study the effects of the dipole moment of the impurity on the energies of the levels as well as on those of the transitions and this for different materials.

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Acknowledgements

This work was done with funding from the DGRSDT of the Ministry of Higher Education and Scientific Research in Algeria as part of the PRFU B00L02UN070120190003. The authors would like to thank the referee who greatly contributed to improving the clarity and the quality of this work through his comments and suggestions.

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Authors and Affiliations

  1. Laboratory of Photonic Physics and Nano-Materials (LPPNNM), Department of Matter Sciences, University of Biskra, Biskra, Algeria

    Mourad Baazouzi, Mustafa Moumni & Mokhtar Falek

  2. Laboratory of Radiation and their Interactions with Matter (PRIMALAB), Department of Physics, University of Batna1, Batna, Algeria

    Mustafa Moumni

Authors
  1. Mourad Baazouzi
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  2. Mustafa Moumni
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  3. Mokhtar Falek
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Correspondence to Mustafa Moumni.

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Baazouzi, M., Moumni, M. & Falek, M. Exact solutions for a quantum ring with a dipolar impurity. Eur. Phys. J. Plus 135, 894 (2020). https://doi.org/10.1140/epjp/s13360-020-00922-7

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