Self-Energy Correction to the Bound-Electron g Factor of P States

Author

Ulrich D. Jentschura, Missouri University of Science and TechnologyFollow

Abstract

The radiative self-energy correction to the bound-electron g factor of 2P_1/2 and 2P_3/2 states in one-electron ions is evaluated to order α(Zα)². The contribution of high-energy virtual photons is treated by means of an effective Dirac equation, and the result is verified by an approach based on long-wavelength quantum electrodynamics. The contribution of low-energy virtual photons is calculated both in the velocity and in the length gauge, and gauge invariance is verified explicitly. The results compare favorably to recently available numerical data for hydrogenlike systems with low nuclear charge numbers.

Recommended Citation

U. D. Jentschura, "Self-Energy Correction to the Bound-Electron g Factor of P States," Physical Review A - Atomic, Molecular, and Optical Physics, vol. 81, no. 1, pp. 012512-1 - 012512-7, American Physical Society (APS), Jan 2010.

The definitive version is available at https://doi.org/10.1103/PhysRevA.81.012512

Department(s)

Physics

Keywords and Phrases

Dirac Equations; Electron G-factor; Electron Ions; Gauge Invariance; High Energy; Long Wavelength; Low Energies; Nuclear Charge Numbers; Numerical Data; Quantum Electrodynamics; Self-energy Corrections; Virtual Photons; Electrodynamics; Gages; Linear Equations; Semiconductor Quantum Dots

International Standard Serial Number (ISSN)

1050-2947

Document Type

Article - Journal

Document Version

Final Version

File Type

text

Language(s)

English

Rights

© 2010 American Physical Society (APS), All rights reserved.

Publication Date

01 Jan 2010