We revisit the derivation of the apparatus-dependent correction to the energy levels of quantum cyclotron states, as previously outlined [Boulware et al., Phys. Rev. D 32, 729 (1985)PRVDAQ0556-282110.1103/PhysRevD.32.729]. We evaluate the leading corrections to the axial, magnetron, cyclotron, and spin-projection-dependent energy levels due to the altered photon field quantization in the vicinity of a conducting wall. Our work significantly extends previous considerations. Quantum cyclotron states are used for the determination of the electron g factor in Penning traps. Our calculations show that the numerically largest apparatus-dependent corrections can be expected for the axial and magnetron frequencies, where they can be as large as 10-8 in relative units. For the cyclotron frequency, one can expect corrections on the order of 10-12, which can affect the determination of the anomalous magnetic moment of the electron.
U. D. Jentschura, "Apparatus-dependent Corrections To The Electron G-2 Revisited," Physical Review D, vol. 107, no. 7, article no. 76014, American Physical Society, Apr 2023.
The definitive version is available at https://doi.org/10.1103/PhysRevD.107.076014
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01 Apr 2023