Radiation modes of a cavity with a resonantly oscillating boundary

We present exact analytic solutions to describe the quantum dynamics of the radiation modes in a one-dimensional cavity vibrating at any one of its re sonance frequencies. For a cavity vibrating at its m th (m greater than or equal to 2) eigenfrequency, m traveling wave packers emerge in the finite p art of the field energy density and their amplitudes grow while their width s shrink in time, representing a large concentration of energy. There also exists a "sub-Casimir" region where the energy density equals m(2) times th e static Casimir energy density. [S1050-2947(99)09902-3]. PACS number(s): 4 2.50.Lc, 03.65.-w, 12.20.Ds, 03.70.+k.