On the Breit Equation

TL;DR

This paper demonstrates that the Breit equation possesses eigenvalues for bound states of two oppositely charged Dirac particles with Coulomb interaction, aligning with the Schrödinger eigenvalues in the non-relativistic limit.

Contribution

It shows that the Breit equation has valid eigenvalues for bound states, contrary to previous beliefs, and connects these to the non-relativistic Schrödinger results.

Findings

Eigenvalues exist for the Breit equation in bound states

Eigenvalues reduce to Schrödinger eigenvalues non-relativistically

Challenges conventional belief about the Breit equation's eigenvalues

Abstract

Contrary to the conventional belief, it was shown that the Breit equation has the eigenvalues for bound states of two oppositely charged Dirac particles interacting through the (static) Coulomb potential. All eigenvalues reduced to those of the Sch\"odinger case in the non-relativistic limit.