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Quantum Algorithms

Exact closed form analytical solutions for vibrating cavities

arXiv

Authors: Pawel Wegrzyn

Year

2007

Paper ID

49830

Status

Preprint

Abstract Read

~2 min

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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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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...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:0706.4078 [2] arXiv https://arxiv.org/abs/0706.4078 [3] Publisher https://arxiv.org/abs/0706.4078

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