An accurate description of the hydrogen atom comes from a quantum analysis that uses the Schrödinger equation, Dirac equation or Feynman path integral formulation to calculate the probability density of the electron around the proton. The most complex formulas include the small effects of special relativity and vacuum polarization. In the quantum mechanical treatment, the electron in a ground state hydrogen atom has no angular momentum—illustrating how the "planetary orbit" differs from electron motion.
An accurate description of the hydrogen atom comes from a quantum analysis that uses the Schrödinger equation Dirac equation or Feynman path integral formulation to calculate the probability density of the electron around the proton The most complex formulas include the small effects of special relativity and vacuum polarization In the quantum mechanical treatment the electron in a ground state hydrogen atom has no angular momentum—illustrating how the "planetary orbit" differs from electron motion