Abstract
The dynamical Casimir effect for neutral scalar massive field in a cavity with perfect reflecting boundaries is revisited from a mathematical point of view. We consider some 1 + 1a nd 3+ 1 dimensional examples in which the boundary oscillates. For short times, the average number of produced particles is calculated using the second order perturbation theory, and for large times, the method to calculate the number of created particles is the rotating wave approximation.
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