International Journal of High Energy Physics

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Interaction of the Electromagnetic Radiation Quantum and Material Particle in a Vector - Potential Space

Received: Sep. 02, 2017    Accepted: Sep. 15, 2017    Published: Oct. 09, 2017
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Abstract

Interaction of a photon and material particle (electron and atom) is considered. It is shown that this process needs to be described in the uniform reference system moving with light velocity in space of a vector - potential. On the basis of the Noether’s theorem it is shown that in a vector - potential space the volumetric density of photon energy, its velocity and a ring current density of a material particle are conserved. On the basis of the Schrodinger’s equation solving for a photon and electron cooperating in vector - potential space it is shown the electron during interaction should represent the quantum oscillator with a discrete set energies. Electron fluctuations or Dirac’s electron "jitter" are realized with a light velocity. The problem of an electron magnetic moment (spin) occurrence in a vector - potential space is considered. Conditions of the atom currents quantization in vector - potential space, and also the Heisenberg’s uncertainty principle in this space are submitted. The Lamb’s frequency shift in vector - potential space is found. The multiphoton system in a vector - potential space is investigated.

DOI 10.11648/j.ijhep.20170404.11
Published in International Journal of High Energy Physics ( Volume 4, Issue 4, August 2017 )
Page(s) 36-45
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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), 2024. Published by Science Publishing Group

Keywords

A Photon, An Electron, Dirac’s Electron "Jitter", Nonlinear Schrodinger’s Equation, Quantum Oscillator, Magnetic Moment, Spin, Electronic and Atomic Ring Currents

References
[1] Berestetskij V. B., Lifshits E. M., Pitaevskij L. P. “Quantum Electrodynamics,” Science, Moscow, 1989. Pp. 356, 404.
[2] Levich V. G. “Theoretic Physics Course,” V. 1, FIZMATGIS, Moscow, 1962. Pp. 165, 200, 230. V. 2. Pp. 320, 321, 646, 734, 796.
[3] 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.
[4] Volobuev A. N. “Analysis of a Vector - Potential Representation of Electromagnetic Radiation Quantum,” Engineering Physics. V. 2, No. 4, 2017. Pp. 54-59.
[5] Bogolubov N. N., Shirkov D. V., “Quantum Fields,” FIZMATLIT, Moscow, 2005. Pp. 24, 27.
[6] Landau L. D., Lifshits E. M. “Theory of Field,” Science, Moscow, 1967. Pp. 45, 69, 109.
[7] Mathematical physics. The encyclopedia. Under edit. Faddeev L. D. Scientific publishing house “Big Russian encyclopedia”, Moscow, 1998. P. 385.
[8] Schrödinger, E. Über die kräftefreie Bewegung in der relativistischen Quantenmechanik / Schrödinger E. // Sitzungsber. Peuss. Akad. Wiss. Phys. Math. Kl. - 1930. - Vol. 24. - Pp. 418-428.
[9] Vonsovskij S. V., Svirsky M. S. “Paradox Klein and jittering movement of an electron in a field with constant scalar potential,” Moscow, 1993, Uspekhi Fizicheskikh Nauk, V. 163, No. 5, pp. 115-118.
[10] Dirac P. A. M. “Recollections of an Exciting Era,” Science, Moscow, 1990. Pp. 203 - 206.
[11] Landau L. D., Lifshits E. M. “Quantum Mechanics,” FIZMATLIT, Moscow, 2004, p. 35, 98, 104, 216, 779, 781.
[12] Feynman R., Leighton R., Sands M. “The Feynman Lectures on Physics,” V. 3, 4. World, Moscow, 1976. P. 290.
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  • APA Style

    Andrey Nikolaevich Volobuev, Eugene Sergeevich Petrov, Paul Konstantinovich Kuznetsov. (2017). Interaction of the Electromagnetic Radiation Quantum and Material Particle in a Vector - Potential Space. International Journal of High Energy Physics, 4(4), 36-45. https://doi.org/10.11648/j.ijhep.20170404.11

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    ACS Style

    Andrey Nikolaevich Volobuev; Eugene Sergeevich Petrov; Paul Konstantinovich Kuznetsov. Interaction of the Electromagnetic Radiation Quantum and Material Particle in a Vector - Potential Space. Int. J. High Energy Phys. 2017, 4(4), 36-45. doi: 10.11648/j.ijhep.20170404.11

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    AMA Style

    Andrey Nikolaevich Volobuev, Eugene Sergeevich Petrov, Paul Konstantinovich Kuznetsov. Interaction of the Electromagnetic Radiation Quantum and Material Particle in a Vector - Potential Space. Int J High Energy Phys. 2017;4(4):36-45. doi: 10.11648/j.ijhep.20170404.11

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  • @article{10.11648/j.ijhep.20170404.11,
      author = {Andrey Nikolaevich Volobuev and Eugene Sergeevich Petrov and Paul Konstantinovich Kuznetsov},
      title = {Interaction of the Electromagnetic Radiation Quantum and Material Particle in a Vector - Potential Space},
      journal = {International Journal of High Energy Physics},
      volume = {4},
      number = {4},
      pages = {36-45},
      doi = {10.11648/j.ijhep.20170404.11},
      url = {https://doi.org/10.11648/j.ijhep.20170404.11},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.ijhep.20170404.11},
      abstract = {Interaction of a photon and material particle (electron and atom) is considered. It is shown that this process needs to be described in the uniform reference system moving with light velocity in space of a vector - potential. On the basis of the Noether’s theorem it is shown that in a vector - potential space the volumetric density of photon energy, its velocity and a ring current density of a material particle are conserved. On the basis of the Schrodinger’s equation solving for a photon and electron cooperating in vector - potential space it is shown the electron during interaction should represent the quantum oscillator with a discrete set energies. Electron fluctuations or Dirac’s electron "jitter" are realized with a light velocity. The problem of an electron magnetic moment (spin) occurrence in a vector - potential space is considered. Conditions of the atom currents quantization in vector - potential space, and also the Heisenberg’s uncertainty principle in this space are submitted. The Lamb’s frequency shift in vector - potential space is found. The multiphoton system in a vector - potential space is investigated.},
     year = {2017}
    }
    

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    AU  - Andrey Nikolaevich Volobuev
    AU  - Eugene Sergeevich Petrov
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    T2  - International Journal of High Energy Physics
    JF  - International Journal of High Energy Physics
    JO  - International Journal of High Energy Physics
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    AB  - Interaction of a photon and material particle (electron and atom) is considered. It is shown that this process needs to be described in the uniform reference system moving with light velocity in space of a vector - potential. On the basis of the Noether’s theorem it is shown that in a vector - potential space the volumetric density of photon energy, its velocity and a ring current density of a material particle are conserved. On the basis of the Schrodinger’s equation solving for a photon and electron cooperating in vector - potential space it is shown the electron during interaction should represent the quantum oscillator with a discrete set energies. Electron fluctuations or Dirac’s electron "jitter" are realized with a light velocity. The problem of an electron magnetic moment (spin) occurrence in a vector - potential space is considered. Conditions of the atom currents quantization in vector - potential space, and also the Heisenberg’s uncertainty principle in this space are submitted. The Lamb’s frequency shift in vector - potential space is found. The multiphoton system in a vector - potential space is investigated.
    VL  - 4
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Author Information
  • Department of Medical and Biological Physics, Samara State Medical University, Samara, Russia

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

  • Department of Electric - Drive, Samara State Technical University, Samara, Russia

  • Section