Parametrically amplified radiation in a cavity with an oscillating wall

Abstract

We introduce a time-dependent perturbation method to calculate the number of created particles in a 1D cavity with an oscillating wall of the frequency . This method makes it easy to find the dominant part of the solution which results from the parametric resonance. The maximal number of particles are created at the mode frequency /2 . Using the Floquet theory, we discuss the long-time behavior of the particle creation.

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