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| related topics |
| {energy, state, states} |
| {equation, function, exp} |
| {group, space, representation} |
| {level, atom, field} |
| {state, algorithm, problem} |
| {photon, photons, single} |
| {spin, pulse, spins} |
| {algorithm, log, probability} |
| {states, state, optimal} |
| {field, particle, equation} |
| {force, casimir, field} |
| {time, wave, function} |
|
Calculation of Hydrogenic Bethe Logarithms for Rydberg States
Ulrich D. Jentschura, Peter J. Mohr
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 (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.
- oai_identifier:
- oai:arXiv.org:quant-ph/0504001
- categories:
- quant-ph
- comments:
- 10 pages, RevTeX
- doi:
- 10.1103/PhysRevA.72.012110
- arxiv_id:
- quant-ph/0504001
- journal_ref:
- Phys. Rev. A72 (2005) 012110
- created:
- 2005-04-01
Full article ▸
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