Exact closed form analytical solutions for vibrating cavities

Details Exact closed form analytical solutions for vibrating cavities Exact closed form analytical solutions for vibrating cavities

2007-06-27

arxiv.org/abs/0706.4078v1

J. Phys. B: At. Mol. Opt. Phys. 40, 2621-2640 (2007)

Physics

Quantum Physics

17 pages, 7 figures

Scientific paper

10.1088/0953-4075/40/13/008

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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