Electromagnetic Interaction Equations

TL;DR

This paper proposes relativistic quantum mechanics equations for electromagnetic interactions between two particles, analyzing the energy spectrum of a free-moving particle based on initial conditions, with potential for arbitrary spectra.

Contribution

It introduces new equations for two-particle electromagnetic interactions and demonstrates how initial wave functions influence the energy spectrum of a free particle.

Findings

Equations are solved for a particle with small mass moving freely.

The energy spectrum depends on the initial wave function.

Arbitrary energy spectra can be obtained through initial conditions.

Abstract

For the electromagnetic interaction of two particles the relativistic quantum mechanics equations are proposed. These equations are solved for the case when one particle has a small mass and moves freely. The initial wave functions are supposed to be concentrated at the coordinates origin. The energy spectrum of another particle wave function is defined by the initial wave function of the free moving particle. Choosing the initial wave function of the free moving particle it is possible to obtain a practically arbitrary energy spectrum.