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Going from Classical to Quantum Description of Bound Charged Particles Part 2: Implications for the light hydrogenic atoms | | T. Yarman
; A.L. Kholmetskii
; O.V. Missevitch
; | | Date: |
25 Nov 2009 | | Abstract: | This paper consists in the continuation of the analysis of bound quantum
systems started in part 1 (T. Yarman, A.L. Kholmetskii and O.V. Missevitch.
Going from classical to quantum description of bound charged particles. Part 1:
basic concepts and assertions), which is based on a novel approach to the
transition from classical to quantum description of electrically bound charges,
involving the requirement of energy-momentum conservation for the non-radiative
character of electromagnetic field. It has been shown that the modified
expression for the energy levels of hydrogenic atoms coincides with the
corresponding conventional expression to the accuracy at least mc^2(Za)^4,
where m being the electron mass, c the light velocity in vacuum, a the fine
structure constant and Z the atomic number. In the higher orders of (Za) our
approach evokes corrections to the energy levels, which remove the known
discrepancies between theory and experiment in physics of light hydrogenic
atoms: 1S-2S interval in positronium, hydrogen-deuterium isotope shift, and the
Lamb shift. In particular, the re-estimated classic 2S-2P Lamb shift in the
hydrogen leads to the proton charge radius rp=0.875+/-0.004 fm, which fits much
better into the experimental data obtained in the elementary particle physics,
than the old value rp=0.891+/-0.005 fm derived for the Lamb shift. The 1S Lamb
shift in hydrogen yields rp=0.874+/-0.006 fm, which is in an excellent
agreement with the previously obtained value. | | Source: | arXiv, 0911.4782 | | Services: | Forum | Review | PDF | Favorites | |
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