### Abstract

Quantum electrodynamics has been the first theory to emerge from the ideas of regularization and renormalization, and the coupling of the fermions to the virtual excitations of the electromagnetic field. Today, bound-state quantum electrodynamics provides us with accurate theoretical predictions for the transition energies relevant to simple atomic systems, and steady theoretical progress relies on advances in calculational techniques, as well as numerical algorithms. In this brief review, we discuss one particular aspect connected with the recent progress: the evaluation of relativistic corrections to the one-loop bound-state self-energy in a hydrogenlike ion of low nuclear charge number, for excited non-S states, up to the order of α(Zα) ^{6} in units of the electron mass. A few details of calculations formerly reported in the literature are discussed, and results for 6F, 7F, 6G and 7G states are given.

Original language | English |
---|---|

Pages (from-to) | 2261-2276 |

Number of pages | 16 |

Journal | Modern Physics Letters A |

Volume | 20 |

Issue number | 30 |

DOIs | |

Publication status | Published - Sep 28 2005 |

### Fingerprint

### Keywords

- Atomic physics
- Bound states
- Quantum electrodynamics

### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Mathematical Physics
- Nuclear and High Energy Physics

### Cite this

*Modern Physics Letters A*,

*20*(30), 2261-2276. https://doi.org/10.1142/S0217732305018256

**Techniques in analytic lamb shift calculations.** / Jentschura, U.

Research output: Contribution to journal › Article

*Modern Physics Letters A*, vol. 20, no. 30, pp. 2261-2276. https://doi.org/10.1142/S0217732305018256

}

TY - JOUR

T1 - Techniques in analytic lamb shift calculations

AU - Jentschura, U.

PY - 2005/9/28

Y1 - 2005/9/28

N2 - Quantum electrodynamics has been the first theory to emerge from the ideas of regularization and renormalization, and the coupling of the fermions to the virtual excitations of the electromagnetic field. Today, bound-state quantum electrodynamics provides us with accurate theoretical predictions for the transition energies relevant to simple atomic systems, and steady theoretical progress relies on advances in calculational techniques, as well as numerical algorithms. In this brief review, we discuss one particular aspect connected with the recent progress: the evaluation of relativistic corrections to the one-loop bound-state self-energy in a hydrogenlike ion of low nuclear charge number, for excited non-S states, up to the order of α(Zα) 6 in units of the electron mass. A few details of calculations formerly reported in the literature are discussed, and results for 6F, 7F, 6G and 7G states are given.

AB - Quantum electrodynamics has been the first theory to emerge from the ideas of regularization and renormalization, and the coupling of the fermions to the virtual excitations of the electromagnetic field. Today, bound-state quantum electrodynamics provides us with accurate theoretical predictions for the transition energies relevant to simple atomic systems, and steady theoretical progress relies on advances in calculational techniques, as well as numerical algorithms. In this brief review, we discuss one particular aspect connected with the recent progress: the evaluation of relativistic corrections to the one-loop bound-state self-energy in a hydrogenlike ion of low nuclear charge number, for excited non-S states, up to the order of α(Zα) 6 in units of the electron mass. A few details of calculations formerly reported in the literature are discussed, and results for 6F, 7F, 6G and 7G states are given.

KW - Atomic physics

KW - Bound states

KW - Quantum electrodynamics

UR - http://www.scopus.com/inward/record.url?scp=24944433253&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=24944433253&partnerID=8YFLogxK

U2 - 10.1142/S0217732305018256

DO - 10.1142/S0217732305018256

M3 - Article

AN - SCOPUS:24944433253

VL - 20

SP - 2261

EP - 2276

JO - Modern Physics Letters A

JF - Modern Physics Letters A

SN - 0217-7323

IS - 30

ER -