Some Arguments for the Wave Equation in Quantum Theory

• URL: http://arxiv.org/abs/2107.10943v1
• Date: Thu, 22 Jul 2021 22:05:41 GMT
• Title: Some Arguments for the Wave Equation in Quantum Theory
• Authors: Tristram de Piro
• Abstract summary: We build solutions to Jefimenko's equations for charge and current satisfying the continuity equation. We prove that the energy in the electromagnetic field is quantised and displays the properties of the Balmer series.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We clarify some arguments concerning Jefimenko's equations, as a way of constructing solutions to Maxwell's equations, for charge and current satisfying the continuity equation. We then isolate a condition on non-radiation in all inertial frames, which is intuitively reasonable for the stability of an atomic system, and prove that the condition is equivalent to the charge and current satisfying certain relations, including the wave equations. Finally, we prove that with these relations, the energy in the electromagnetic field is quantised and displays the properties of the Balmer series.

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