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 , the critical value of , equals to 137 in Dirac equation whereas in RSSE with and 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