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CPT and Lorentz violation effects in hydrogenlike atoms

2007/05/31 by O. G. Kharlanov, V. Ch. Zhukovsky · 1 citation
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Noncommutative and Quantum Gravity Theories #Quantum and Classical Electrodynamics #hep-th

paper · pdf · doi:10.1063/1.2785123

published as J.Math.Phys.48:092302,2007 · 13 pages, 1 figure; (5.14) is corrected to conform to the normalization convention for Laguerre polynomials adopted at present; minor grammatical changes

openalex publication_date 2007/09/01 · arxiv created 2007/10/22 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Within the framework of Lorentz-violating extended electrodynamics, the Dirac equation for a bound electron in an external electromagnetic field is considered assuming the interaction with a CPT-odd axial vector background bμ. The quasirelativistic Hamiltonian is obtained using a 1∕c-series expansion. Relativistic Dirac eigenstates in a spherically symmetric potential are found accurate up to the second order in b0. b0-induced CPT-odd corrections to the electromagnetic dipole moment operators of a bound electron are calculated that contribute to the anapole moment of the atomic orbital and may cause a specific asymmetry of the angular distribution of the radiation of a hydrogen atom.

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