dorsal/arxiv
View SchemaComparison among Klein-Gordon equation, Dirac equation and Relativistic Stationary Schrodinger equation
| Authors | Guang-jiong Ni, Weimin Zhou, Jun Yan |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9901018 |
| URL | https://arxiv.org/abs/quant-ph/9901018 |
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 $Z, Z_c$, equals to 137 in Dirac equation whereas $Z_c=\sqrt{M/\mu} (137)$ in RSSE with $M$ and $\mu$ being the total mass of atom and the reduced mass of the electron.
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"abstract": "A particle is always not pure. It always contains hiding antiparticle\ningredient which is the essence of special relativity. Accordingly, the\nKlein-Gordon (KG) equation and Dirac equation are restudied and compared with\nthe Relativistic Stationary Schr\\\"odinger Equation (RSSE). When an electron is\nbound in a Hydrogenlike atom with pointlike nucleus having charge number $Z$,\nthe critical value of $Z, Z_c$, equals to 137 in Dirac equation whereas\n$Z_c=\\sqrt{M/\\mu} (137)$ in RSSE with $M$ and $\\mu$ being the total mass of\natom and the reduced mass of the electron.",
"arxiv_id": "quant-ph/9901018",
"authors": [
"Guang-jiong Ni",
"Weimin Zhou",
"Jun Yan"
],
"categories": [
"quant-ph"
],
"title": "Comparison among Klein-Gordon equation, Dirac equation and Relativistic Stationary Schrodinger equation",
"url": "https://arxiv.org/abs/quant-ph/9901018"
},
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