Novel Energy Level Structure of Dirac Oscillator in Magnetic Field

Md Moniruzzaman; Syed Badiuzzaman Faruque

doi:doi:10.11648/j.ijhep.20200701.12

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Novel Energy Level Structure of Dirac Oscillator in Magnetic Field

Md Moniruzzaman, Syed Badiuzzaman Faruque

Published in International Journal of High Energy Physics (Volume 7, Issue 1)

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
Creative Commons	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

Md Moniruzzaman

Department of Physics, Mawlana Bhashani Science and Technology University, Santosh, Tangail, Bangladesh
Syed Badiuzzaman Faruque

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

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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

Copy | Download

@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}
}

Copy | Download

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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