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Analysis of a Vector-Potential Representation of Electromagnetic Radiation Quantum

Received: 5 June 2017     Accepted: 22 June 2017     Published: 23 October 2017
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Abstract

On the basis of the generalized coordinates use the opportunity of a clear representation of electromagnetic radiation quantum is shown. It is established that equation Lagrange in a classical variant passes in the wave equation for vector - potential, and at quantization in Schrodinger equation for a quantum of electromagnetic radiation in space of the generalized coordinates. The solution of Schrodinger equation is given. It is shown that in space of the generalized coordinates the vacuum energy is a constant, not dependent on the changing parameter of a quantum - its frequencies, and the length of a quantum is exponential falls with increase in volumetric density of its energy.

Published in International Journal of High Energy Physics (Volume 4, Issue 4)
DOI 10.11648/j.ijhep.20170404.12
Page(s) 46-51
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), 2017. Published by Science Publishing Group

Keywords

Electromagnetic Field, Quantum, Lagrange Function, Generalized Coordinates, Schrodinger Equation, Wave Function

References
[1] Chandrasekhar Roychoudhuri, Krasklauer A. F., Katherine Creath. “The Nature of Light. What is Photon?” CRC Press. Taylor & Francis Group. Boca Raton, London, New York, 2008. 456 p.
[2] V. B. Berestetskij, E. M. Lifshits, L. P. Pitaevskij “Quantum Electrodynamics,” Science, Moscow, 1989, pp. 26, 27.
[3] M. Thomson “Modern Particle Physics,” Cambridge University Press, Cambridge, New York, 2013, p. 40.
[4] L. D. Landau, E. M. Lifshits “Theory of Field,” Science, Moscow, 1967, pp. 97, 104, 106, 108, 109.
[5] R. P. Feynman, A. R. Hibbs “Quantum Mechanics and Path Integrals,” McGraw-Hill Book Company, New York, 1965, p. 41.
[6] Landau L. D., Lifshits E. M. “Mechanics,” Science, Moscow, 1988, p. 190.
[7] Landau L. D., Lifshits E. M. “Quantum Mechanics,” FIZMATLIT, Moscow, 2004, p. 76.
[8] Physical Encyclopedic Dictionary. Edit. Prohorov A. M. Moscow, Soviet Encyclopedia, 1983, p. 731.
[9] A. N. Volobuev “The Physical Processes are Submitting to Nonlinear Schrodinger’s Equation,” Moscow, 2005, Mathematical Modelling, V. 17, No. 2, pp. 103-108.
[10] S. Ya. Kilin “Quantum Information,” Moscow, 1999, Uspekhi Fizicheskikh Nauk, V. 169, No. 5, pp. 507-527.
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  • APA Style

    Andrey Nikolaevich Volobuev. (2017). Analysis of a Vector-Potential Representation of Electromagnetic Radiation Quantum. International Journal of High Energy Physics, 4(4), 46-51. https://doi.org/10.11648/j.ijhep.20170404.12

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    ACS Style

    Andrey Nikolaevich Volobuev. Analysis of a Vector-Potential Representation of Electromagnetic Radiation Quantum. Int. J. High Energy Phys. 2017, 4(4), 46-51. doi: 10.11648/j.ijhep.20170404.12

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    AMA Style

    Andrey Nikolaevich Volobuev. Analysis of a Vector-Potential Representation of Electromagnetic Radiation Quantum. Int J High Energy Phys. 2017;4(4):46-51. doi: 10.11648/j.ijhep.20170404.12

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  • @article{10.11648/j.ijhep.20170404.12,
      author = {Andrey Nikolaevich Volobuev},
      title = {Analysis of a Vector-Potential Representation of Electromagnetic Radiation Quantum},
      journal = {International Journal of High Energy Physics},
      volume = {4},
      number = {4},
      pages = {46-51},
      doi = {10.11648/j.ijhep.20170404.12},
      url = {https://doi.org/10.11648/j.ijhep.20170404.12},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijhep.20170404.12},
      abstract = {On the basis of the generalized coordinates use the opportunity of a clear representation of electromagnetic radiation quantum is shown. It is established that equation Lagrange in a classical variant passes in the wave equation for vector - potential, and at quantization in Schrodinger equation for a quantum of electromagnetic radiation in space of the generalized coordinates. The solution of Schrodinger equation is given. It is shown that in space of the generalized coordinates the vacuum energy is a constant, not dependent on the changing parameter of a quantum - its frequencies, and the length of a quantum is exponential falls with increase in volumetric density of its energy.},
     year = {2017}
    }
    

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    T1  - Analysis of a Vector-Potential Representation of Electromagnetic Radiation Quantum
    AU  - Andrey Nikolaevich Volobuev
    Y1  - 2017/10/23
    PY  - 2017
    N1  - https://doi.org/10.11648/j.ijhep.20170404.12
    DO  - 10.11648/j.ijhep.20170404.12
    T2  - International Journal of High Energy Physics
    JF  - International Journal of High Energy Physics
    JO  - International Journal of High Energy Physics
    SP  - 46
    EP  - 51
    PB  - Science Publishing Group
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    UR  - https://doi.org/10.11648/j.ijhep.20170404.12
    AB  - On the basis of the generalized coordinates use the opportunity of a clear representation of electromagnetic radiation quantum is shown. It is established that equation Lagrange in a classical variant passes in the wave equation for vector - potential, and at quantization in Schrodinger equation for a quantum of electromagnetic radiation in space of the generalized coordinates. The solution of Schrodinger equation is given. It is shown that in space of the generalized coordinates the vacuum energy is a constant, not dependent on the changing parameter of a quantum - its frequencies, and the length of a quantum is exponential falls with increase in volumetric density of its energy.
    VL  - 4
    IS  - 4
    ER  - 

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Author Information
  • Department of Medical and Biological Physics, Samara State Medical University, Samara, Russia

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