Exact closed form analytical solutions for vibrating cavities
arXiv:0706.4078 · doi:10.1088/0953-4075/40/13/008
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.
17 pages, 7 figures
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- Dynamical Casimir Effect for Two Oscillating Mirrors in 3-D
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