History and Philosophy of Physics

    

A Vibrational Interpretation of the Schrödinger Equation for Hydrogen-Like Atoms

Authors: Martin Kraus

Physicists have been searching for a vibrational interpretation of the Schrödinger equation for a century; so far with limited success. This work presents a speculative vibrational interpretation in the special case of the Schrödinger equation for a hydrogen-like atom. Solutions of this equation are interpreted as high-frequency stationary vibrations of the atom’s electromagnetic field driven by de Broglie’s internal clock of the atom’s electron, which is assumed to orbit around the atom’s nucleus. The proposed vibrational interpretation challenges existing interpretations of the Schrödinger equation in various ways, which pose interesting research questions for future work.

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[v1] 2026-08-07 14:04:51

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