A model with two quantum particles similar to the hydrogen atom

TL;DR

This paper proposes a modified quantum model of the hydrogen atom where the Coulomb interaction is replaced by an electromagnetic field-mediated interaction, offering a new perspective on the atom's energy levels and wave functions.

Contribution

It introduces a novel approach replacing Coulomb interaction with electromagnetic field mediation in the hydrogen atom model.

Findings

Provides formulas for energy levels and wave functions in the modified model

Demonstrates the feasibility of electromagnetic field-mediated interaction in quantum systems

Offers insights into alternative interactions in quantum atomic models

Abstract

The hydrogen atom with the Coulomb interaction is one of the exactly solvable non-relativistic quantum models. Unlike many other exactly solvable models it describes a real physical object providing the formulas for energy levels and stationary state wave functions of a real hydrogen atom. In this paper we modify the model replacing the Coulomb interaction by the interaction of the proton and the electron with the classical electromagnetic field serving as an intermediary transmitting the electromagnetic interaction of these two charged quantum particles.