Comparison among Klein-Gordon equation, Dirac equation and Relativistic Stationary Schrodinger equation

1999/01/08 by Guang-jiong Ni, Ni, Guang-jiong, Weimin Zhou +3
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/9901018

10 pages, Revtex, 10 Postscript figures

arxiv created 2000/02/25 · arxiv updated 2009/12/01

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, Z_c, equals to 137 in Dirac equation whereas Z_c=√(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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