1996/09/01 by U. D. Jentschura, Ulrich D. Jentschura, Krzysztof Pachucki +1 · 2 citations
Materials Science · Mathematics · Physics and Astronomy · #Advanced Chemical Physics Studies #Atomic and Molecular Physics #Economics #Lamb shift #Magnetism in coordination complexes #Mathematics #Order (exchange) #Physics #Quantum mechanics #physics.atom-ph
paper · pdf · doi:10.1103/physreva.54.1853
published as Phys.Rev. A54 (1996) 1853-1861 · 18 pages, LaTeX. In comparison to the journal version, it contains an added note (2000) which reflects the current status of Lamb shift calculations
openalex publication_date 1996/09/01 · arxiv created 2000/11/03 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We present an improved calculation of higher-order corrections to the one-loop self-energy of 2P states in hydrogenlike systems with small nuclear charge Z. The method is based on a division of the integration with respect to the photon energy into a high- and a low-energy part. The high-energy part is calculated by an expansion of the electron propagator in powers of the Coulomb field. The low-energy part is simplified by the application of a Foldy-Wouthuysen transformation. This transformation leads to a clear separation of the leading contribution from the relativistic corrections and removes higher-order terms. The method is applied to the 2P1/2 and 2P3/2 states in atomic hydrogen. The results lead to theoretical values for the Lamb shifts and the fine-structure splitting. \textcopyright 1996 The American Physical Society.