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The five-dimensional extended space model: Localisation of a plane wave and its interaction with a point charged particle

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Abstract

The process of localisation of a plane wave and its interaction with a point charged particle is considered in the framework of the five-dimensional extended space model (ESM). The equations for the plane-wave potentials describing the process of its localisation are presented. The exact solution of these equations is found. A scheme of interaction of a localised wave with a charged particle is proposed. It is shown that, within the framework of the ESM formalism introduced by us, when a point charged particle interacts with a plane electromagnetic wave incident on it, the point particle ‘swells’, and its spatial size is determined by the plane-wave localisation parameter.

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References

  1. V I Vysotskii, A A Kornilova and M V Vysotskyy, J. Exp. Theor. Phys. 132, 566 (2020)

    Article  ADS  Google Scholar 

  2. Cheryl D Stevenson and John P Davis, Int. J. Hydrogen Energy 43(43), 20011 (2018)

  3. H Hildebrandt et al, Astron. Astrophys. 633, A69 (2020)

    Article  Google Scholar 

  4. Jacques Colin, Roya Mohayaee, Mohamed Rameez and Subir Sarkar, Astron. Astrophys. 631, L13 (2019)

    Article  ADS  Google Scholar 

  5. D Yu Tsipenyuk and V A Andreev, Bull. Lebedev Phys. Inst. 6, 23 (2000)

    Google Scholar 

  6. D Yu Tsipenyuk and V A Andreev, Bull. Lebedev Phys. Inst. 6, 1 (2002)

    Google Scholar 

  7. V A Andreev and D Yu Tsipenyuk, Gravit. Cosmol. 12, 235 (2006)

    ADS  Google Scholar 

  8. V Andreev and D Tsipenyuk, Natural Sci. 6, 248 (2014)

    Article  Google Scholar 

  9. F Klein, Zeits. f. Math. u. Phys. 46, 376 (1901)

    Google Scholar 

  10. A Einstein, Ann. der Phys. 49, 769 (1916)

    Article  ADS  Google Scholar 

  11. Th Kaluza, Sitzungrsberichte d. Preuss. Akad. 7, 966 (1921)

    Google Scholar 

  12. H Mandel, Zeits. f. Math. a. Phys. 39, 136 (1926)

    Article  ADS  Google Scholar 

  13. V Fock, Zeits. f. Math. a. Phys. 39, 226 (1926)

    Article  ADS  Google Scholar 

  14. A Einstein and P Bergmann, Ann. Math. Ser. 39, 683 (1938)

    Article  Google Scholar 

  15. Yu B Rumer, Issledovaniya po pyatimernoy optike (Studies on five-dimensional optics) (Moscow, URSS Publ., 2010) 152 p.

  16. Yu S Vladimirov, Space-time: Explicit and hidden dimensions (Librokom, Moscow, 2010) p. 208

    Google Scholar 

  17. P S Wesson, Space, time, matter: Modern Kaluza–Klein theory (World Scientific, Singapore, 1999), Available: https://archive.org/details/spacetimematterm0000wess

  18. P S Wesson, Five-dimensional physics (World Scientific, Singapore, 2006)

    Book  Google Scholar 

  19. P S Wesson, Int. J. Mod. Phys. D 24, 1530001 (2015)

    Article  ADS  Google Scholar 

  20. James Overduin and Paul Wesson, Phys. Rep. 283, 303 (1997)

    Article  ADS  MathSciNet  Google Scholar 

  21. J Overduin and R C Henry, Physics and the pythagorean theorem, arXiv:2005.10671v2 (2020)

  22. V A Andreev and D Yu Tsipenyuk, J. Mod. Phys. 7, 1308 (2016)

    Article  Google Scholar 

  23. V A Andreev and D Yu Tsipenyuk, Properties of the 5-D extended space model with variable photons mass and size. New insights into physical science (Book Publisher International, West Bengal, India) Vol. 7, Chap. 12, ISBN: 978-81-947979-1-3; https://doi.org/10.9734/bpi/nips/v7

  24. D Yu Tsipenyuk and W B Belayev, Rom. Rep. Phys. 72,113 (2020)

    Google Scholar 

  25. D Y Tsipenyuk and W B Belayev, Indian J. Phys. https://doi.org/10.1007/s12648-021-02104-2 (2021)

  26. L Broglie, Problemes de Propagations Guidees des Ondes Electromagnetiques (Gauthier-Villars, Paris, 1941) 104p

    MATH  Google Scholar 

  27. R P Feynman, R B Leighton and M Sands, The Feynman lectures on physics (Addison-Wesley Publishing Company Inc, 1964) Vol. 2

  28. L A Rivlin, Phys.-Usp. 40, 291 (1997)

    Article  ADS  Google Scholar 

  29. L A Rivlin, Quantum Electron. 33, 777 (2003)

    Article  ADS  Google Scholar 

  30. A Maitland and M H Dunn, Laser physics (North-Holland Publishing Company, Amsterdam-London, 1969) 408 p

    Google Scholar 

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Andreev, V.A., Tsipenyuk, D.Y. The five-dimensional extended space model: Localisation of a plane wave and its interaction with a point charged particle. Pramana - J Phys 95, 196 (2021). https://doi.org/10.1007/s12043-021-02233-7

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  • DOI: https://doi.org/10.1007/s12043-021-02233-7

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