Skip to main content
SpringerLink
Log in

Soliton model of atom

  • Published:
Foundations of Physics Aims and scope Submit manuscript

Abstract

The Einstein-de Broglie soliton concept is applied to simulate stationary states of an electron in a hydrogen atom. According to this concept, the electron is described by the localized regular solutions to some nonlinear equations. It is shown that the electron-solilon center travels along some stationary orbit around the Coulomb center. The electromagnetic radiation is absent as the Poynting vector has non-wave asymptote O(r −3)after averaging over angles.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. L. de Broglie,Les Incertitudes d'Heisenberg et l'Interprétation Probabiliste de la Mécanique Ondulatoire (Gauthier-Villars, Paris, 1982). Translation by A. van der Merwe:Heisenberg's Uncertainties and the Probabilistic Interpretation of Wave Mechanics (Kluwer Academic, Dordrecht, 1990).

    Google Scholar 

  2. L. de Broglie,Une tentative d'Interprétation Causale et Nonlineaire de la Mécanique Ondulatoire (La Théorie de la Double Solution) (Gauthier-Villars, Paris, 1956).

    Google Scholar 

  3. A. Einstein,Collection of Scientific Works, Vol. 4 (Nauka, Moscow, 1967).

    Google Scholar 

  4. G. S. Adkins, Ch. R. Nappi, and E. Witten,Nucl. Phys. B 228, 552 (1983).

    Google Scholar 

  5. D. Bohm,Causality and Chance in Modern Physics (London, 1957).

  6. J. L. Synge,Proc. Roy. Irish Acad. Sci. A 62, 17 (1961).

    Google Scholar 

  7. Yu P. Rybakov,Itogi Nauki i Techniki. Classical Theory of Fields and Gravitation, Vol. 2 (VINITI, Moscow, 1991), p. 56.

    Google Scholar 

  8. Yu. P. Rybakov,Proc. 10th Intern. Conf. on General Relativity and Gravitation (Padova, 1984), Vol. 1, p. 125.

    Google Scholar 

  9. L. Biberman, N. Sushkin, and V. Fabricant,Dokl. Akad. Nauk SSSR 66, 185 (1949).

    Google Scholar 

  10. Yu. P. Rybakov,Problems of Gravitation and Elementary Particle Theory,17, 161 (1986).

    Google Scholar 

  11. Yu. P. Rybakov and M. Chahir,Izv. VUZov, Fizika, No. 1, 36 (1982).

    Google Scholar 

  12. Yu. P. Rybakov,Found. Phys. 4, 149 (1974).

    Google Scholar 

  13. Yu. P. Rybakov,Ann. Fond. L. de Broglie,2, 181 (1977).

    Google Scholar 

  14. Yu. P. Rybakov,Philosophical Researh on Quantum Mechanics: 25 Years of Bell's Inequality (Moscow, 1990), p. 112.

  15. Yu. P. Rybakov,Discussion Questions of Quantum Physics: In Memory of V. V. Kuryshkin (Moscow, 1993), p. 83.

  16. L. Hostler,J. Math. Phys. 5, 591 (1964).

    Google Scholar 

  17. S. A. Boguslavski,Selected Works on Physics (Moscow, 1961).

  18. N. G. Chetaev,Stability of Motion. Works on Analytical Mechanics (Academy of Sciences, Moscow, 1962).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Theoretical Physics, Peoples' Friendship University of Russia, 6 Miklukho-Maklay Street, 117198, Moscow, Russia

    Yu. P. Rybakov

  2. Bogoliubov Theoretical Laboratory, JINR, 141980, Dubna, Moscow Region, Russia

    B. Saha

Authors
  1. Yu. P. Rybakov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. B. Saha
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rybakov, Y.P., Saha, B. Soliton model of atom. Found Phys 25, 1723–1731 (1995). https://doi.org/10.1007/BF02057884

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02057884

Keywords

Search

Navigation