Some Arguments for the Wave Equation in Quantum Theory 3
Analysis of PDEs
2022-10-28 v1 Mathematical Physics
math.MP
Quantum Physics
Abstract
We prove there exists a charge solution to the 1-dimensional wave equation, and a corresponding current, such that the pair satisfy the continuity equation. We show that when they are extended to a smooth solution of the continuity equation on a vanishing annulus containing the unit circle, with a corresponding causal solution to Maxwell's equations, obtained from Jefimenko's equations, the power radiated at infinity in a time cycle is zero.
Keywords
Cite
@article{arxiv.2210.15054,
title = {Some Arguments for the Wave Equation in Quantum Theory 3},
author = {Tristram de Piro},
journal= {arXiv preprint arXiv:2210.15054},
year = {2022}
}