Quantum Physics

    

De Broglie's Phase Waves of Electrons on Cyclotron Orbits

Authors: Martin Kraus

The discrete energy levels of electronic orbits in Bohr's model of hydrogen atoms may be derived from the requirement that de Broglie's electronic phase waves are continuous on closed orbits. This short work applies the same reasoning to electronic cyclotron orbits. The resulting discrete energy levels include the non-relativistic Landau levels and additional (half-integer) levels. It is hypothesized that transitions to these additional levels are usually strongly suppressed.

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[v1] 2026-02-05 19:58:51

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