Abstract

The change in the magnetic moment of the electron due to zero-point vibrations of the quantized radiation field is calculated from nonrelativistic quantum mechanics. Using ideas which underlie Bethe's calculation of the Lamb shift and Luttinger's calculation of the electron magnetic moment, but without using second quantization of the electron field, we obtain the familiar g = 2[1 + (e2/hc)]. In addition, the calculation gives the correct form for the magnetic-field-dependent radiative corrections to g, namely a first term proportional to B and a second term proportional to B lnB. These B-dependent radiative terms differ only by numerical factors of the order of unity from the relativistic quantum electrodynamics corrections derived by Gupta. The self-energy integrals are fairly sensitive to the Bethe cutoff, but choosing the high-frequency cutoff at μc2/ħ yields, simultaneously, the correct Lamb shift and the Schwinger g value.

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