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Reduced Dirac Equation and Lamb Shift as an Off-mass-shell effect in
Quantum Electrodynamics
Guang-jiong Ni, Jianjun Xu, Senyue Lou
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.
- oai_identifier:
- oai:arXiv.org:quant-ph/0511197
- categories:
- quant-ph physics.atom-ph
- comments:
- 48 pages,3 figures
- arxiv_id:
- quant-ph/0511197
- created:
- 2005-11-20
- updated:
- 2010-07-18
Full article ▸
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