Creation of photons in an oscillating cavity with two moving mirrors

We study the creation of photons in a one-dimensional oscillating cavity with two perfectly conducting moving walls. By means of a conformal transformation, we derive a set of generalized Moore’s equations whose solution contains the whole information of the radiation field within the cavity. For the case of resonant oscillations we solve these equations using a renormalization-group procedure that appropriately deals with the secular behavior present in a naive perturbative approach. We study the time evolution of the energy density profile and of the number of created photons inside the cavity.