Another method to solve Dirac's one-electron equation numerically

2008/11/24 by K V Koshelev, Koshelev, K V
Physics and Astronomy · #FOS: Physical sciences #General Physics (physics.gen-ph) #physics.gen-ph

paper · pdf · doi:10.48550/arxiv.0811.3912

arxiv created 2008/11/24 · arxiv updated 2009/12/01

Abstract

One more mode developed to get eigen energies and states for the one-electron Dirac's equation with spherically symmetric bound potential. For the particular case of the Coulomb potential it was shown that the method is free of so called spurious states. The procedure could be adapted to receive highly exited states with great precision.

Related

• General solution of the Dirac equation with the Coulomb potential
• General solution vs spin invariant eigenstates of the Dirac equation with the Coulomb potential
• Solution of the Dirac Equation using the Lanczos Algorithm
• Charge Conjugation, Heavy Ions, e⁺ e^- pairs: Was there a better way to add potentials to Dirac's free electrons?
• High-precision methods for Coulomb, linear confinement and Cornell\n potentials in momentum space