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arxiv: quant-ph/9706007 · v2 · submitted 1997-06-03 · 🪐 quant-ph · hep-th

Production of photons by the parametric resonance in the dynamical Casimir effect

classification 🪐 quant-ph hep-th
keywords omegaparametricresonancecalculatecavityeffectfrequencymethod
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We calculate the number of photons produced by the parametric resonance in a cavity with vibrating walls. We consider the case that the frequency of vibrating wall is $n \omega_1 (n=1,2,3,...)$ which is a generalization of other works considering only $2 \omega_1$, where $\omega_1$ is the fundamental-mode frequency of the electromagnetic field in the cavity. For the calculation of time-evolution of quantum fields, we introduce a new method which is borrowed from the time-dependent perturbation theory of the usual quantum mechanics. This perturbation method makes it possible to calculate the photon number for any $n$ and to observe clearly the effect of the parametric resonance.

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