Photon Generation in a Cavity with Oscillating Boundary: Analytical Solution
The phenomenon of photon creation in an empty cavity with moving boundaries seems almost evident: indeed, the motion of the boundaries causes a reconstruction of the vac-mull state of the electromagnetic field inside the cavity, resulting in the creation of quanta, and modification of the Casimir force. However, the problem of the quantitative description of the phenomenon turned out extremely difficult even in the case of so called “one-dimensional electrodynamics”.1–6 In the present paper we propose the explicit analytical solution to the problem of photon generation inside a one-dimensional cavity with an ideal boundary which performs small-amplitude oscillations at twice the frequency of the principal electromagnetic mode.
KeywordsElectromagnetic Field Lebedev Physics Lebedev Physics Institute Elliptic Integral Quantum Fluctuation
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