Comparison among Klein-Gordon equation, Dirac equation and Relativistic Stationary Schrodinger equation
Abstract
A particle is always not pure. It always contains hiding antiparticle ingredient which is the essence of special relativity. Accordingly, the Klein-Gordon (KG) equation and Dirac equation are restudied and compared with the Relativistic Stationary Schr\"odinger Equation (RSSE). When an electron is bound in a Hydrogenlike atom with pointlike nucleus having charge number Z, the critical value of Z, Zc, equals to 137 in Dirac equation whereas Zc=M/μ (137) in RSSE with M and μ being the total mass of atom and the reduced mass of the electron.
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.