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  Calculation of hydrogenic Bethe logarithms for Rydberg states

Jentschura, U. D., & Mohr, P. J. (2005). Calculation of hydrogenic Bethe logarithms for Rydberg states. Physical Review A, 72(1): 012110. doi:10.1103/PhysRevA.72.012110.

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 Creators:
Jentschura, Ulrich David1, Author              
Mohr, Peter J.2, Author
Affiliations:
1Division Prof. Dr. Christoph H. Keitel, MPI for Nuclear Physics, Max Planck Society, ou_904546              
2Natl Inst Stand & Technol, Gaithersburg, MD 20899 USA., ou_persistent22              

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 Abstract: We describe the calculation of hydrogenic (one-loop) Bethe logarithms for all states with principal quantum numbers n<=200. While, in principle, the calculation of the Bethe logarithm is a rather easy computational problem involving only the nonrelativistic (Schrödinger) theory of the hydrogen atom, certain calculational difficulties affect highly excited states, and in particular states for which the principal quantum number is much larger than the orbital angular momentum quantum number. Two evaluation methods are contrasted. One of these is based on the calculation of the principal value of a specific integral over a virtual photon energy. The other method relies directly on the spectral representation of the Schrödinger–Coulomb propagator. Selected numerical results are presented. The full set of values is available at arXiv.org/quant-ph/0504002.

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Language(s): eng - English
 Dates: 2005-07
 Publication Status: Published in print
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 Rev. Type: Peer
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Title: Physical Review A
  Alternative Title : Phys. Rev. A
Source Genre: Journal
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Pages: - Volume / Issue: 72 (1) Sequence Number: 012110 Start / End Page: - Identifier: ISSN: 1050-2947