dorsal/arxiv
View SchemaReduced Dirac Equation and Lamb Shift as an Off-mass-shell effect in Quantum Electrodynamics
| Authors | Guang-jiong Ni, Jianjun Xu, Senyue Lou |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0511197 |
| URL | https://arxiv.org/abs/quant-ph/0511197 |
| License | http://creativecommons.org/licenses/by/3.0/ |
Abstract
Based on the precision experimental data of energy-level differences in hydrogenlike atoms, especially the 1S-2S transition of hydrogen and deuterium, the necessity of establishing a reduced Dirac equation (RDE) with reduced mass as the substitution of original electron mass is stressed. The theoretical basis of RDE lies on two symmetries, the invariance under the space-time inversion and that under the pure space inversion. Based on RDE and within the framework of quantum electrodynamics in covariant form, the Lamb shift can be evaluated (at one-loop level) as the radiative correction on a bound electron staying in an off-mass-shell state--a new approach eliminating the infrared divergence. Hence the whole calculation, though with limited accuracy, is simplified, getting rid of all divergences and free of ambiguity.
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"abstract": "Based on the precision experimental data of energy-level differences in\nhydrogenlike atoms, especially the 1S-2S transition of hydrogen and deuterium,\nthe necessity of establishing a reduced Dirac equation (RDE) with reduced mass\nas the substitution of original electron mass is stressed. The theoretical\nbasis of RDE lies on two symmetries, the invariance under the space-time\ninversion and that under the pure space inversion. Based on RDE and within the\nframework of quantum electrodynamics in covariant form, the Lamb shift can be\nevaluated (at one-loop level) as the radiative correction on a bound electron\nstaying in an off-mass-shell state--a new approach eliminating the infrared\ndivergence. Hence the whole calculation, though with limited accuracy, is\nsimplified, getting rid of all divergences and free of ambiguity.",
"arxiv_id": "quant-ph/0511197",
"authors": [
"Guang-jiong Ni",
"Jianjun Xu",
"Senyue Lou"
],
"categories": [
"quant-ph",
"physics.atom-ph"
],
"license": "http://creativecommons.org/licenses/by/3.0/",
"title": "Reduced Dirac Equation and Lamb Shift as an Off-mass-shell effect in Quantum Electrodynamics",
"url": "https://arxiv.org/abs/quant-ph/0511197"
},
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