Eighth-Order Foldy-Wouthuysen Transformation

Author

Ulrich D. Jentschura, Missouri University of Science and TechnologyFollow

Abstract

The calculation of higher-order binding corrections to bound systems is a fundamental problem of theoretical physics. For any nonrelativistic expansion, one needs the Foldy-Wouthuysen transformation, which disentangles the particle and the antiparticle degrees of freedom. This transformation is carried out here to eighth order in the momenta or to eighth order in the momentum operators, which is equivalent to the eighth order of the fine-structure constant. Matrix elements of the eighth-order terms are evaluated for F_5/2 and F_7/2 states in hydrogenlike ions and compared with the Dirac-Coulomb energy levels.

Recommended Citation

U. D. Jentschura, "Eighth-Order Foldy-Wouthuysen Transformation," Physical Review A, vol. 110, no. 1, article no. 012808, American Physical Society, Jul 2024.

The definitive version is available at https://doi.org/10.1103/PhysRevA.110.012808

Department(s)

Physics

Comments

National Science Foundation, Grant PHY-2110294

International Standard Serial Number (ISSN)

2469-9934; 2469-9926

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2024 American Physical Society, All rights reserved.

Publication Date

01 Jul 2024