### Dynamical Casimir Effect in 3D

**Diego A. R. Dalvit**

*Theoretical Division *

Los Alamos National Laboratory

PO Box B210 Los Alamos NM 87545

We compute the photon creation inside a perfectly conducting,
three dimensional oscillating cavity, taking the polarization
of the electromagnetic field into account. As the boundary conditions
for this field are both of Dirichlet and (generalized) Neumann
type, we analyze as a preliminary step the dynamical Casimir effect
for a scalar field satisfying generalized Neumann boundary conditions.
We show that particle production is enhanced with respect to the
case of Dirichlet boundary conditions. Then we consider the transverse
electric and transverse magnetic polarizations of the electromagnetic
field. For resonant frequencies, the total number of photons grows
exponentially in time for both polarizations, the rate being greater
for transverse magnetic modes.