Nonlinear Electrodynamics: One-Electron Atom
  From non-linear theory of electromagnetism, suggested in (physics/9801031), follows that non-relativistic equation for scalar potential of electron in the field of nuclei is equivalent to respective Schr\"odinger equation. For mass and charge densities of electron the expressions from (physics/9811048) are taken. The energy quantizing demands quantizing of parameters $\nu$ and $q$, as well as $m$ and $e$. 
Dmitriy Palatnik