1367-2630_14_12_123035.pdf (390.77 kB)
Magnetic moment of an electron near a surface with dispersion
journal contribution
posted on 2023-06-08, 14:14 authored by Robert Bennett, Claudia EberleinBoundary-dependent radiative corrections that modify the magnetic moment of an electron near a dielectric or conducting surface are investigated. Normal-mode quantization of the electromagnetic field and perturbation theory applied to the Dirac equation for a charged particle in a weak magnetic field yield a general formula for the magnetic moment correction in terms of any choice of electromagnetic mode functions. For two particular models, a non-dispersive dielectric and an undamped plasma, it is shown that, by using contour integration techniques over a complex wave vector, this can be simplified to a formula featuring just integrals over TE and TM reflection coefficients of the surface. Analysing the magnetic moment correction for several models of surfaces, we obtain markedly different results from the previously considered simplistic 'perfect reflector' model, which is due to the inclusion of physically important features of the surface like evanescent field modes and dispersion in the material. Remarkably, for a general dispersive dielectric surface, the magnetic moment correction of an electron nearby has a peak whose position and height can be tuned by choice of material parameters.
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- Published
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- Published version
Journal
New Journal of PhysicsISSN
1367-2630Publisher
Institute of PhysicsExternal DOI
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12Volume
14Page range
123035Department affiliated with
- Physics and Astronomy Publications
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- Yes
Peer reviewed?
- Yes
Legacy Posted Date
2013-01-21First Open Access (FOA) Date
2016-03-22First Compliant Deposit (FCD) Date
2016-08-17Usage metrics
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