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Reduced Dirac equation and Lamb shift as off-mass-shell effect in quantum electrodynamics |
| Ni Guang-Jiong(倪光炯)a)b)†, Xu Jian-Jun(徐建军)a)‡, and Lou Sen-Yue(楼森岳) c)d) |
| a Department of Physics, Fudan University, Shanghai 200433, China; b Department of Physics, Portland State University, Portland, OR97207, USA; c Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China; d Department of Physics, Ningbo University, Ningbo 315211, China |
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Abstract Based on the accurate experimental data of energy-level differences in hydrogen-like atoms, especially the 1S–2S transitions of hydrogen and deuterium, the necessity of introducing a reduced Dirac equation with reduced mass as the substitution of original electron mass is stressed. Based on new cognition about the essence of special relativity, we provide a reasonable argument for the reduced Dirac equation to have two symmetries, the invariance under the (newly defined) space–time inversion and that under the pure space inversion, in a noninertial frame. By using the reduced Dirac equation 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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Received: 11 March 2010
Revised: 08 October 2010
Accepted manuscript online:
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PACS:
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03.65.Pm
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(Relativistic wave equations)
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11.10.Gh
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(Renormalization)
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12.20.Ds
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(Specific calculations)
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Cite this article:
Ni Guang-Jiong(倪光炯), Xu Jian-Jun(徐建军), and Lou Sen-Yue(楼森岳) Reduced Dirac equation and Lamb shift as off-mass-shell effect in quantum electrodynamics 2011 Chin. Phys. B 20 020302
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