dorsal/arxiv
View SchemaRelativistic and Radiative Energy Shifts for Rydberg States
| Authors | U. D. Jentschura, E. -O. Le Bigot, J. Evers, P. J. Mohr, C. H. Keitel |
|---|---|
| Categories | |
| ArXiv ID | physics/0406015 |
| URL | https://arxiv.org/abs/physics/0406015 |
| DOI | 10.1088/0953-4075/38/2/008 |
| Journal | J.Phys. B38 (2005) S97-S105 |
Abstract
We investigate relativistic and quantum electrodynamic effects for highly-excited bound states in hydrogenlike systems (Rydberg states). In particular, hydrogenic one-loop Bethe logarithms are calculated for all circular states (l = n-1) in the range 20 <= n <= 60 and successfully compared to an existing asymptotic expansion for large principal quantum number n. We provide accurate expansions of the Bethe logarithm for large values of n, for S, P and circular Rydberg states. These three expansions are expected to give any Bethe logarithms for principal quantum number n > 20 to an accuracy of five to seven decimal digits, within the specified manifolds of atomic states. Within the numerical accuracy, the results constitute unified, general formulas for quantum electrodynamic corrections whose validity is not restricted to a single atomic state. The results are relevant for accurate predictions of radiative shifts of Rydberg states and for the description of the recently investigated laser-dressed Lamb shift, which is observable in a strong coherent-wave light field.
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"abstract": "We investigate relativistic and quantum electrodynamic effects for\nhighly-excited bound states in hydrogenlike systems (Rydberg states). In\nparticular, hydrogenic one-loop Bethe logarithms are calculated for all\ncircular states (l = n-1) in the range 20 \u003c= n \u003c= 60 and successfully compared\nto an existing asymptotic expansion for large principal quantum number n. We\nprovide accurate expansions of the Bethe logarithm for large values of n, for\nS, P and circular Rydberg states. These three expansions are expected to give\nany Bethe logarithms for principal quantum number n \u003e 20 to an accuracy of five\nto seven decimal digits, within the specified manifolds of atomic states.\nWithin the numerical accuracy, the results constitute unified, general formulas\nfor quantum electrodynamic corrections whose validity is not restricted to a\nsingle atomic state. The results are relevant for accurate predictions of\nradiative shifts of Rydberg states and for the description of the recently\ninvestigated laser-dressed Lamb shift, which is observable in a strong\ncoherent-wave light field.",
"arxiv_id": "physics/0406015",
"authors": [
"U. D. Jentschura",
"E. -O. Le Bigot",
"J. Evers",
"P. J. Mohr",
"C. H. Keitel"
],
"categories": [
"physics.atom-ph"
],
"doi": "10.1088/0953-4075/38/2/008",
"journal_ref": "J.Phys. B38 (2005) S97-S105",
"title": "Relativistic and Radiative Energy Shifts for Rydberg States",
"url": "https://arxiv.org/abs/physics/0406015"
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