Calculation of Hydrogenic Bethe Logarithms for Rydberg States

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dc.creatorJentschura, Ulrich D.
dc.creatorMohr, Peter J.
dc.date2005-04-01
dc.date.accessioned2026-07-07T06:12:29Z
dc.date.available2026-07-07T06:12:29Z
dc.descriptionWe 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 (Schroedinger) 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 Schroedinger-Coulomb propagator. Selected numerical results are presented. The full set of values is available at quant-ph/0504002.
dc.description10 pages, RevTeX
dc.identifierhttps://arxiv.org/abs/quant-ph/0504001
dc.identifierhttp://arxiv.org/abs/quant-ph/0504001
dc.identifierPhys. Rev. A72 (2005) 012110
dc.identifierdoi:10.1103/PhysRevA.72.012110
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/92797
dc.subjectQuantum Physics
dc.titleCalculation of Hydrogenic Bethe Logarithms for Rydberg States
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