Exact closed form analytical solutions for vibrating cavities
Quantum Physics
2009-11-13 v1
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.
Cite
@article{arxiv.0706.4078,
title = {Exact closed form analytical solutions for vibrating cavities},
author = {Pawel Wegrzyn},
journal= {arXiv preprint arXiv:0706.4078},
year = {2009}
}