A Modified Approach to de Broglie Wave Mechanics in Applied Electromagnetic Fields
James R. Baker-Jarvis, Pavel Kabos
The goal of this paper is to reformulate the de Broglie-Bohm model of wave mechanics with applied electromagnetic fields. The Schroedinger and Klein-Gordon equations are separated into component equations for classical action and a linear self-interaction wave. The analysis indicates that the motion of a particle separates naturally into particle dynamics through the classical Hamilton-Jacobi equation and wave behavior through a pilot of self-interaction wave. The self-interaction wave travels with the particle at the classical particle velocity. We study guauge invariance and interpret it in the light of the self-interaction wave. We also develop a novel quantum-mechanical, relativistic energy-momentum conservation equation using a complex quantum-mechanical, four vector. The analog to electromagnetic energy conservation is used to understand quantum interactions.
Physical Review A (Atomic, Molecular and Optical Physics)
Klein-Gordon, quantum, Schroedinger equation, uncertainty, de Broglie
and Kabos, P.
A Modified Approach to de Broglie Wave Mechanics in Applied Electromagnetic Fields, Physical Review A (Atomic, Molecular and Optical Physics)
(Accessed October 2, 2023)