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Boundary-dependent radiative corrections that modify the magnetic moment ofan electron near a dielectric or conducting surface are investigated.Normal-mode quantization of the electromagnetic field and perturbation theoryapplied to the Dirac equation for a charged particle in a weak magnetic fieldyields a general formula for the magnetic moment correction in terms of anychoice of electromagnetic mode functions. For two particular models, anon-dispersive dielectric and an undamped plasma, it is shown that, by usingcontour integration techniques over a complex wave vector, this can besimplified to a formula featuring just integrals over TE and TM reflectioncoefficients of the surface. Analysing the magnetic moment correction forseveral models of surfaces, we obtain markedly different results from thepreviously considered simplistic `perfect reflector' model, which is due to theinclusion of physically important features of the surface like evanescent fieldmodes and dispersion in the material. Remarkably, for a general dispersivedielectric surface, the magnetic moment correction of an electron nearby has apeak whose position and height can be tuned by choice of material parameters.

Magnetic moment of an electron near a surface with dispersion