The point spectrum of the Dirac Hamiltonian on the zero-gravity Kerr-Newman spacetime

TL;DR

This paper reviews the Dirac equation on the zero-gravity Kerr-Newman spacetime and establishes a correspondence between its bound states and hydrogenic atomic states.

Contribution

It provides a novel classification linking the bound states of the zGKN spectrum to familiar hydrogenic states.

Findings

Bound states correspond to hydrogenic states

Classification clarifies spectral properties of zGKN

Establishes a spectral analogy with hydrogen atom

Abstract

In this short paper, we review the Dirac equation on the zero-gravity Kerr-Newman spacetime. Our main objective is to provide a correspondence between the classification of the bound states for the zGKN spectrum and the usual hydrogenic states $1s_{1/2}$, $2s_{1/2}$, etc. of the Hydrogen atom.