TITLE:
Quasi-Relativistic Description of Hydrogen-Like Atoms
AUTHORS:
Luis Grave de Peralta
KEYWORDS:
Quantum Mechanics, Schrödinger Equation, Relativistic Quantum Mechanics, Klein-Gordon Equation, Hydrogen Atom
JOURNAL NAME:
Journal of Modern Physics,
Vol.11 No.6,
June
2,
2020
ABSTRACT: Using a novel wave equation, which is Galileo invariant but can give
precise results up to energies as high as mc2, 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 Schrödinger equation.