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arXiv · 0706.4078

Exact closed form analytical solutions for vibrating cavities

Pawel Wegrzyn
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Abstract

For one-dimensional vibrating cavity systems appearing in the standard illustration of the dynamical Casimir effect, we propose an approach to the construction of exact closed-form solutions. As new results, we obtain solutions that are given for arbitrary frequencies, amplitudes and time regions. In a broad range of parameters, a vibrating cavity model exhibits the general property of exponential instability. Marginal behavior of the system manifests in a power-like growth of radiated energy.

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Pawel Wegrzyn. 2007-06-27. Exact closed form analytical solutions for vibrating cavities. https://doi.org/10.1088/0953-4075%2F40%2F13%2F008

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