A Modified Approach to de Broglie Wave Mechanics in Applied Electromagnetic Fields

Published

October 21, 2003

Author(s)

James R. Baker-Jarvis, Pavel Kabos

Abstract

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.

Citation

Physical Review A (Atomic, Molecular and Optical Physics)

Volume

A68

Pub Type

Journals

Keywords

Klein-Gordon, quantum, Schroedinger equation, uncertainty, de Broglie

Citation

Baker-Jarvis, J. and Kabos, P. (2003), A Modified Approach to de Broglie Wave Mechanics in Applied Electromagnetic Fields, Physical Review A (Atomic, Molecular and Optical Physics) (Accessed October 20, 2025)