English

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

Quantum Physics 2007-05-23 v2

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 ZZ, the critical value of Z,ZcZ, Z_c, equals to 137 in Dirac equation whereas Zc=M/μ(137)Z_c=\sqrt{M/\mu} (137) in RSSE with MM and μ\mu being the total mass of atom and the reduced mass of the electron.

Keywords

Cite

@article{arxiv.quant-ph/9901018,
  title  = {Comparison among Klein-Gordon equation, Dirac equation and Relativistic Stationary Schrodinger equation},
  author = {Guang-jiong Ni and Weimin Zhou and Jun Yan},
  journal= {arXiv preprint arXiv:quant-ph/9901018},
  year   = {2007}
}

Comments

10 pages, Revtex, 10 Postscript figures