Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Foundations of Physics

Electron Wave Trajectories Within Schrodinger’s Hydrogen Atom, and Relativistic Consequences

Leslie Smith

Published Aug 26, 2023• 0 citations
Publisher
DOI
10.1007/s10701-023-00722-w

Related papers

Theory of electromagnetic wave (≥1 mm) emission and absorption by the hydrogen atom derived from the relativistically modified Schrödinger equation

Noboru Kohiyama

The relativistically modified Schrödinger equation is solved for the hydrogen atom for consistency with the eigenvalues of electron’s energy derived from the Dirac equation. Based on the consistency of their eigenvalues, the theory of electromagnetic wave (≥1 mm) emission and absorption by the hydrogen atom is expressed. Another particle in addition to an electron is predicted from this theory.

Physics Essays•Jun 16, 2020•3 citations

The Hydrogen Atom according to Schrödinger’s Wave Mechanics

Springer eBooks•Aug 13, 2007•0 citations

Binomial potential of the electron-proton interaction as an alternative to the Coulomb law

V. K. Gudym, E. V. Andreeva

It is shown that a solution of the classical Kepler problem with a binomial potential explains the stationary orbits of the hydrogen atom, its discrete spectrum, and trajectories of scattered electrons with energies from several electron-volts to relativistic values. The Schrodinger equation with the binomial potential takes the form of a classical wave equation. Hence, the binomial potential is a more appropriate model for understanding atomic phenomena than the model based on the Coulomb potential.

Journal of Surface Investigation X-ray Synchrotron and Neutron Techniques•Apr 1, 2007•2 citations

The Schrödinger Wave Equation and the Hydrogen Atom

Philip R. Wallace

Springer eBooks•Jan 1, 1996•2 citations

The Hydrogen Atom – Extended Model

Bratianu Daniel

This paper tries to prove that the existence and properties of the electron’s spin can be established not only as a consequence of relativistic quantum mechanics, but also as a consequence of non-relativistic quantum mechanics of the Hydrogen atom or Hydrogenic atoms. It is, in fact, an extended model of the Hydrogen atom or Hydrogenic atoms. This new model starts from the assumption that to the foundation of atomic structure there is not only a potential of electrical nature, but also a potential of magnetic nature, which, together with the Coulomb potential, determine the movement of electrons around the atomic nucleus. As a consequence of this new model is obtained a non-relativistic theory of Hydrogen atom which takes into account the spin of the electron and leads us to a non-relativistic theory of the atom in agreement with the Stern-Gerlach experiment results. As well the model can be used in order to explain the spectrum of Alkali-atoms.

International Journal of Theoretical and Mathematical Physics•Jan 1, 2015•0 citations

Relativistic particle mechanics and Schrödinger’s quantum wave theory

James Murray Hill

Acta Mechanica•Dec 1, 2025•0 citations
It is shown that a solution of the classical Kepler problem with a binomial potential explains the stationary orbits of the hydrogen atom, its discrete spectrum, and trajectories of scattered electrons with energies from several electron-volts to relativistic values. The Schrodinger equation with the binomial potential takes the form of a classical wave equation. Hence, the binomial potential is a more appropriate model for understanding atomic phenomena than the model based on the Coulomb potential.
This paper tries to prove that the existence and properties of the electron’s spin can be established not only as a consequence of relativistic quantum mechanics, but also as a consequence of non-relativistic quantum mechanics of the Hydrogen atom or Hydrogenic atoms. It is, in fact, an extended model of the Hydrogen atom or Hydrogenic atoms. This new model starts from the assumption that to the foundation of atomic structure there is not only a potential of electrical nature, but also a potential of magnetic nature, which, together with the Coulomb potential, determine the movement of electrons around the atomic nucleus. As a consequence of this new model is obtained a non-relativistic theory of Hydrogen atom which takes into account the spin of the electron and leads us to a non-relativistic theory of the atom in agreement with the Stern-Gerlach experiment results. As well the model can be used in order to explain the spectrum of Alkali-atoms.