On the Quantum Electrodynamics of a Dispersive Mirror.
1995; Elsevier BV; Volume: 238; Issue: 2 Linguagem: Inglês
10.1006/aphy.1995.1021
ISSN1096-035X
Autores Tópico(s)Mechanical and Optical Resonators
ResumoA 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 Frad, 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 Frad, 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 Frad to β̈ then emerges in closed form.
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