# On the Quantum Electrodynamics of a Dispersive Mirror.:I. Mass Shifts, Radiation, and Radiative Reaction

- Authors
- Journal
- Annals of Physics 0003-4916
- Publisher
- Elsevier
- Publication Date
- Volume
- 238
- Issue
- 2
- Identifiers
- DOI: 10.1006/aphy.1995.1021
- Disciplines

## Abstract

Abstract A one-dimensional model is used to study quantum radiation from an infinitesimally thin jellium-type mirror moving nonrelativistically, with special attention to the effects of dispersion on the spectrum, the mean radiative reaction force F rad, and the self-mass. Elementary methods suffice throughout. The mirror′s position and momentum must be treated, initially, as dynamic variables; afterwards one can treat the velocity β( t) as an assigned classical parameter. One component ΔM (1) of the self-mass stems from energy localized on the mirror, interpretable as kinetic energy of the charge carriers induced by the zero-point oscillations of the field; the other component ΔM (2), related to F rad, stems from the fields previously emitted by the mirror. Typically of nonrelativistic approximations, the calculated corrections to the rest-energy ( ΔM (1)) and to the inertial mass ( ΔM (1) + ΔM (2)) are numerically different, although of the same order. Some integrals over photon frequencies require a cutoff; in the no-cutoff limit ΔM (1) would diverge logarithmically, but dispersion attenuates high-frequency reflection sufficiently for all other results to remain well defined and finite. In particular, the (delayed) response of F rad to β̈ then emerges in closed form.

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