Indian Journal of Physics

, Volume 91, Issue 6, pp 607–621 | Cite as

Classical-field model of the hydrogen atom

  • Sergey A. RashkovskiyEmail author
Original Paper


It is shown that all of the basic properties of the hydrogen atom can be consistently described in terms of classical electrodynamics if instead of considering the electron to be a particle, we consider an electrically charged classical wave field—an “electron wave”—which is held by the electrostatic field of the proton. It is shown that quantum mechanics must be considered not as a theory of particles but as a classical field theory in the spirit of classical electrodynamics. In this case, we are not faced with difficulties in interpreting the results of the theory. In the framework of classical electrodynamics, all of the well-known regularities of the spontaneous emission of the hydrogen atom are obtained, which is usually derived in the framework of quantum electrodynamics. It is shown that there are no discrete states and discrete energy levels of the atom: the energy of the atom and its states change continuously. An explanation of the conventional corpuscular-statistical interpretation of atomic phenomena is given. It is shown that this explanation is only a misinterpretation of continuous deterministic processes. In the framework of classical electrodynamics, the nonlinear Schrödinger equation is obtained, which accounts for the inverse action of self-electromagnetic radiation of the electron wave and completely describes the spontaneous emissions of an atom.


Hydrogen atom Classical electrodynamics Spontaneous emission Deterministic process Nonlinear Schrödinger equation Statistical interpretation 


03.65.Ta 03.65.Sq 



Funding was provided by the Tomsk State University competitiveness improvement program.


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Copyright information

© Indian Association for the Cultivation of Science 2017

Authors and Affiliations

  1. 1.Institute for Problems in Mechanics of the Russian Academy of SciencesMoscowRussia
  2. 2.Tomsk State UniversityTomskRussia

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