Comparison among Klein-Gordon equation, Dirac equation and Relativistic Stationary Schrodinger equation
Guang-jiong Ni, Weimin Zhou, Jun Yan
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 Schrödinger 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.
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