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Novel Energy Level Structure of Dirac Oscillator in Magnetic Field

Received: 17 January 2020     Accepted: 9 March 2020     Published: 17 March 2020
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Abstract

We have presented an elegant high energy quantum problem, namely, the full Dirac oscillator under axial magnetic field with its full solution. We have found the energy spectrum which is rich and at the same time has a novel structure. The quantized energy levels show coupling of the oscillator frequency with the Larmor frequency in the 2D surface where the electrons under consideration follow a 2D oscillator. The axis in which magnetic field is pointed, the electrons follow a 1D oscillator. There is also coupling between spin and orbital motion and also a coupling between a resultant effect of orbital and spin motion with Larmor precession.

Published in International Journal of High Energy Physics (Volume 7, Issue 1)
DOI 10.11648/j.ijhep.20200701.12
Page(s) 8-14
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This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2020. Published by Science Publishing Group

Keywords

(3+1) Dimensional Dirac Oscillator, Magnetic Field, Novel Energy Level Structure

References
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  • APA Style

    Md Moniruzzaman, Syed Badiuzzaman Faruque. (2020). Novel Energy Level Structure of Dirac Oscillator in Magnetic Field. International Journal of High Energy Physics, 7(1), 8-14. https://doi.org/10.11648/j.ijhep.20200701.12

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    ACS Style

    Md Moniruzzaman; Syed Badiuzzaman Faruque. Novel Energy Level Structure of Dirac Oscillator in Magnetic Field. Int. J. High Energy Phys. 2020, 7(1), 8-14. doi: 10.11648/j.ijhep.20200701.12

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    AMA Style

    Md Moniruzzaman, Syed Badiuzzaman Faruque. Novel Energy Level Structure of Dirac Oscillator in Magnetic Field. Int J High Energy Phys. 2020;7(1):8-14. doi: 10.11648/j.ijhep.20200701.12

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  • @article{10.11648/j.ijhep.20200701.12,
      author = {Md Moniruzzaman and Syed Badiuzzaman Faruque},
      title = {Novel Energy Level Structure of Dirac Oscillator in Magnetic Field},
      journal = {International Journal of High Energy Physics},
      volume = {7},
      number = {1},
      pages = {8-14},
      doi = {10.11648/j.ijhep.20200701.12},
      url = {https://doi.org/10.11648/j.ijhep.20200701.12},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijhep.20200701.12},
      abstract = {We have presented an elegant high energy quantum problem, namely, the full Dirac oscillator under axial magnetic field with its full solution. We have found the energy spectrum which is rich and at the same time has a novel structure. The quantized energy levels show coupling of the oscillator frequency with the Larmor frequency in the 2D surface where the electrons under consideration follow a 2D oscillator. The axis in which magnetic field is pointed, the electrons follow a 1D oscillator. There is also coupling between spin and orbital motion and also a coupling between a resultant effect of orbital and spin motion with Larmor precession.},
     year = {2020}
    }
    

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  • TY  - JOUR
    T1  - Novel Energy Level Structure of Dirac Oscillator in Magnetic Field
    AU  - Md Moniruzzaman
    AU  - Syed Badiuzzaman Faruque
    Y1  - 2020/03/17
    PY  - 2020
    N1  - https://doi.org/10.11648/j.ijhep.20200701.12
    DO  - 10.11648/j.ijhep.20200701.12
    T2  - International Journal of High Energy Physics
    JF  - International Journal of High Energy Physics
    JO  - International Journal of High Energy Physics
    SP  - 8
    EP  - 14
    PB  - Science Publishing Group
    SN  - 2376-7448
    UR  - https://doi.org/10.11648/j.ijhep.20200701.12
    AB  - We have presented an elegant high energy quantum problem, namely, the full Dirac oscillator under axial magnetic field with its full solution. We have found the energy spectrum which is rich and at the same time has a novel structure. The quantized energy levels show coupling of the oscillator frequency with the Larmor frequency in the 2D surface where the electrons under consideration follow a 2D oscillator. The axis in which magnetic field is pointed, the electrons follow a 1D oscillator. There is also coupling between spin and orbital motion and also a coupling between a resultant effect of orbital and spin motion with Larmor precession.
    VL  - 7
    IS  - 1
    ER  - 

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Author Information
  • Department of Physics, Mawlana Bhashani Science and Technology University, Santosh, Tangail, Bangladesh

  • Department of Physics, Shahjalal University of Science and Technology, Sylhet, Bangladesh

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