Quasi-Relativistic Description of Hydrogen-Like Atoms

Abstract

Using a novel wave equation, which is Galileo invariant but can give precise results up to energies as high as mc 2 , exact quasi-relativistic quantum mechanical solutions are found for the Hydrogen atom. It is shown that the exact solutions of the Grave de Peralta equation include the relativistic correction to the non-relativistic kinetic energies calculated using the Schr ö dinger equation.