Transitions of a Microscopic Detector Interacting with AN Accelerated Mirror

Physics

Scientific paper

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Scientific paper

We study radiation emitted by a mirror moving in 1+1-dimensional spacetime along a trajectory which approaches the light cone as R(t) = -t - A exp(-t/2M) and argue that the traditional treatment of this problem requires existence of the out-region i.e. turning off the acceleration of the mirror in future. We present a different approach in which the mirror acceleration need not be turned off. Namely, we calculate transition probabilities of a quantum detector coupled to the radiation of the mirror. The in- and out-regions arise naturally because the detector is turned on for the finite period of time. The developed approach is more appropriate than the standard one for analysis of the problem of Hawking radiation created in the final stage of the process of black hole formation.

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