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Abstract: For one-dimensional vibrating cavity systems appearing in the standardillustration of the dynamical Casimir effect, we propose an approach to theconstruction of exact closed-form solutions. As new results, we obtainsolutions that are given for arbitrary frequencies, amplitudes and timeregions. In a broad range of parameters, a vibrating cavity model exhibits thegeneral property of exponential instability. Marginal behavior of the systemmanifests in a power-like growth of radiated energy.



Author: Pawel Wegrzyn

Source: https://arxiv.org/



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