Fundamental Equation, Commutation Relations and Relativistic Invariance at Unitary Quantum Theory

Leo G. Sapogin; Victor A. Boichenko

doi:doi:10.11648/j.ijhep.s.2015020401.15

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Fundamental Equation, Commutation Relations and Relativistic Invariance at Unitary Quantum Theory

Leo G. Sapogin, Victor A. Boichenko

Published in International Journal of High Energy Physics (Volume 2, Issue 4-1)

Received: 13 May 2015 Accepted: 14 May 2015 Published: 18 June 2015

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Abstract

The present article discuses the problems of relativistic invariance and commutation relations at unitary quantum theory. The scalar analogue of the main (principal) equation of the unitary quantum theory together with the Poisson equation are solved numerically in this paper. The value of the electrical charge and also the fine-structure constant, are found, which are in good agreement with the experiment. The evaluation of the electrical form factor end the mass of such a particle is also carried out.

Published in	International Journal of High Energy Physics (Volume 2, Issue 4-1) This article belongs to the Special Issue Symmetries in Relativity, Quantum Theory, and Unified Theories
DOI	10.11648/j.ijhep.s.2015020401.15
Page(s)	59-70
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), 2024. Published by Science Publishing Group

Keywords

Unitary Quantum Theory, Commutation Relation, Relativistic Invariance, Lorentz Transformations, Alternion

References

[1]	Sapogin L.G. (1973). «United Field and Quantum Mechanics», System Researches (Physical Researches) Acad. Science USSR, Vladivostok, 2, pp. 54-84, (Russian).
[2]	Sapogin L.G. (1979). «On Unitary Quantum Mechanics». Nuovo Cimento, vol. 53A, No 2, p.251.
[3]	Sapogin L.G. (1980). “A Unitary Quantum Field Theory”. Annales de la Fondation Louis de Broglie, vol.5, No 4, p.285-300.
[4]	Sapogin L.G. (1983), Journal «Technics for a young», No.1, page 41. (Russian).
[5]	Sapogin L.G. ,Boichenko V.A., (1984). “On the Equation of the Unitary Quantum Theory”. Annales de la Fondation Louis de Broglie, vol. 9, No.3, p.221.
[6]	Sapogin L.G., Boichenko V.A. (1988). “On the Solution of One Non-linear Equation”. Nuovo Cimento, vol.102B, No 4, p.433.
[7]	Sapogin L.G., Boichenko V.A. (1991). “On the Charge and Mass of Particles in Unitary Quantum Theory”. Nuovo Cimento, vol.104A, No 10, p.1483.
[8]	Sapogin L.G., Ryabov Yu.A., Utchastkin V.I. (2003). Unitary Quantum Theory and a New Sources of Energy. Ed. MADI, Moscow, (Russian).
[9]	Sapogin L.G., Ryabov Yu.A, Boichenko V.A. (2005). Unitary Quantum Theory and a New Sources of Energy, Archer Enterprises, Geneva, NY, USA.
[10]	Sapogin L.G., Ryabov Yu. A., Boichenko V. A. (2008). Unitary Quantum Theory and a New Sources of Energy, Ed. Science-Press, Moscow, (Russian, transl. from English).
[11]	Sapogin L.G., Ryabov Yu. A. (2008). «On the mass spectrum of elementary particles in Unitary Quantum Theory», The Old and New Concepts of Physics, Vol. 5, No 3 www.uni.lodz.pl/concepts
[12]	Sapogin L.G., Ryabov Yu. A. (2010). «New Theoretical Results about the Mass Spectrum of Elementary Particles». Applied Physics Research, vol. 2, No 1, p.86-98, May. www.ccsenet.org/apr
[13]	Sapogin L.G.(2010),”About Unitary Quantum Field Theory” Applied Physics Research, vol. 2, No 2, p.114-140, November. www.ccsenet.org/apr
[14]	Sapogin L.G.(2011),”An Unitary Unified Quantum Field Theory” Global Journal of Science Frontier Research,vol.11, Issue 4,Version 1.0, July.
[15]	Sapogin L.G. (2012), Journal «Technics for a young», No.2, page 2-11, February (Russian).
[16]	Sapogin L.G., Ryabov Yu. A.,Dzhanibekov V.A. (2012a),"Problems in the Unitary Quantum View of the World" International Journal of Applied Science and Technology,Vol.2, No .5, May. www.ijastnet.com
[17]	Sapogin L.G.,Dzhanibekov V.A. (2012),"Object Lessons of the Unitary Quantum Theory " Journal of Modern Physics and Applied ,Vol., No .1 page 1-22, http://scik.org
[18]	Costa de Beauregard (1957) “Theorie Synthetique de la Relativite Restreinte et des Quanta”-Gauther-Villars, Paris.
[19]	Wang L.J. etc. (2000). “Gain-assisted superluminal light propagation”, Nature, 406, p.277-279.
[20]	Zaitsev G.A. (1974) Algebraic problems at mathematical physics (into Russian), Science, Moscow.

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APA Style

Leo G. Sapogin, Victor A. Boichenko. (2015). Fundamental Equation, Commutation Relations and Relativistic Invariance at Unitary Quantum Theory. International Journal of High Energy Physics, 2(4-1), 59-70. https://doi.org/10.11648/j.ijhep.s.2015020401.15

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ACS Style

Leo G. Sapogin; Victor A. Boichenko. Fundamental Equation, Commutation Relations and Relativistic Invariance at Unitary Quantum Theory. Int. J. High Energy Phys. 2015, 2(4-1), 59-70. doi: 10.11648/j.ijhep.s.2015020401.15

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AMA Style

Leo G. Sapogin, Victor A. Boichenko. Fundamental Equation, Commutation Relations and Relativistic Invariance at Unitary Quantum Theory. Int J High Energy Phys. 2015;2(4-1):59-70. doi: 10.11648/j.ijhep.s.2015020401.15

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@article{10.11648/j.ijhep.s.2015020401.15,
  author = {Leo G. Sapogin and Victor A. Boichenko},
  title = {Fundamental Equation, Commutation Relations and Relativistic Invariance at Unitary Quantum Theory},
  journal = {International Journal of High Energy Physics},
  volume = {2},
  number = {4-1},
  pages = {59-70},
  doi = {10.11648/j.ijhep.s.2015020401.15},
  url = {https://doi.org/10.11648/j.ijhep.s.2015020401.15},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijhep.s.2015020401.15},
  abstract = {The present article discuses the problems of relativistic invariance and commutation relations at unitary quantum theory. The scalar analogue of the main (principal) equation of the unitary quantum theory together with the Poisson equation are solved numerically in this paper. The value of the electrical charge and also the fine-structure constant, are found, which are in good agreement with the experiment. The evaluation of the electrical form factor end the mass of such a particle is also carried out.},
 year = {2015}
}

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TY  - JOUR
T1  - Fundamental Equation, Commutation Relations and Relativistic Invariance at Unitary Quantum Theory
AU  - Leo G. Sapogin
AU  - Victor A. Boichenko
Y1  - 2015/06/18
PY  - 2015
N1  - https://doi.org/10.11648/j.ijhep.s.2015020401.15
DO  - 10.11648/j.ijhep.s.2015020401.15
T2  - International Journal of High Energy Physics
JF  - International Journal of High Energy Physics
JO  - International Journal of High Energy Physics
SP  - 59
EP  - 70
PB  - Science Publishing Group
SN  - 2376-7448
UR  - https://doi.org/10.11648/j.ijhep.s.2015020401.15
AB  - The present article discuses the problems of relativistic invariance and commutation relations at unitary quantum theory. The scalar analogue of the main (principal) equation of the unitary quantum theory together with the Poisson equation are solved numerically in this paper. The value of the electrical charge and also the fine-structure constant, are found, which are in good agreement with the experiment. The evaluation of the electrical form factor end the mass of such a particle is also carried out.
VL  - 2
IS  - 4-1
ER  -

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Author Information

Leo G. Sapogin

Department of Physics, Technical University (MADI), Leningradsky, Moscow, Russia
Victor A. Boichenko

Institute of Control Science, Prosoyuznaya, Moscow, Russia

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APA Style

Leo G. Sapogin, Victor A. Boichenko. (2015). Fundamental Equation, Commutation Relations and Relativistic Invariance at Unitary Quantum Theory. International Journal of High Energy Physics, 2(4-1), 59-70. https://doi.org/10.11648/j.ijhep.s.2015020401.15

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ACS Style

Leo G. Sapogin; Victor A. Boichenko. Fundamental Equation, Commutation Relations and Relativistic Invariance at Unitary Quantum Theory. Int. J. High Energy Phys. 2015, 2(4-1), 59-70. doi: 10.11648/j.ijhep.s.2015020401.15

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AMA Style

Leo G. Sapogin, Victor A. Boichenko. Fundamental Equation, Commutation Relations and Relativistic Invariance at Unitary Quantum Theory. Int J High Energy Phys. 2015;2(4-1):59-70. doi: 10.11648/j.ijhep.s.2015020401.15

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@article{10.11648/j.ijhep.s.2015020401.15,
  author = {Leo G. Sapogin and Victor A. Boichenko},
  title = {Fundamental Equation, Commutation Relations and Relativistic Invariance at Unitary Quantum Theory},
  journal = {International Journal of High Energy Physics},
  volume = {2},
  number = {4-1},
  pages = {59-70},
  doi = {10.11648/j.ijhep.s.2015020401.15},
  url = {https://doi.org/10.11648/j.ijhep.s.2015020401.15},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijhep.s.2015020401.15},
  abstract = {The present article discuses the problems of relativistic invariance and commutation relations at unitary quantum theory. The scalar analogue of the main (principal) equation of the unitary quantum theory together with the Poisson equation are solved numerically in this paper. The value of the electrical charge and also the fine-structure constant, are found, which are in good agreement with the experiment. The evaluation of the electrical form factor end the mass of such a particle is also carried out.},
 year = {2015}
}

Copy | Download

TY  - JOUR
T1  - Fundamental Equation, Commutation Relations and Relativistic Invariance at Unitary Quantum Theory
AU  - Leo G. Sapogin
AU  - Victor A. Boichenko
Y1  - 2015/06/18
PY  - 2015
N1  - https://doi.org/10.11648/j.ijhep.s.2015020401.15
DO  - 10.11648/j.ijhep.s.2015020401.15
T2  - International Journal of High Energy Physics
JF  - International Journal of High Energy Physics
JO  - International Journal of High Energy Physics
SP  - 59
EP  - 70
PB  - Science Publishing Group
SN  - 2376-7448
UR  - https://doi.org/10.11648/j.ijhep.s.2015020401.15
AB  - The present article discuses the problems of relativistic invariance and commutation relations at unitary quantum theory. The scalar analogue of the main (principal) equation of the unitary quantum theory together with the Poisson equation are solved numerically in this paper. The value of the electrical charge and also the fine-structure constant, are found, which are in good agreement with the experiment. The evaluation of the electrical form factor end the mass of such a particle is also carried out.
VL  - 2
IS  - 4-1
ER  -

Copy | Download