# Relativistic Ground State of Hydrogen-Like Atoms

Relativistic Ground State of Hydrogen-Like Atoms

This Demonstration computes the probability of the upper (red) and lower (gold) components of the ground state of a relativistic hydrogen-like atom of charge as a function of , up to , in accordance with the Dirac equation. This is compared to the probability in the standard nonrelativistic theory. The Dirac equation develops a singularity when .

Ze

Z

Z=1/α≈137

Z>1/α