DYNAMICAL STABILIZATION OF THE KICKED HYDROGEN ATOM S. Yoshida$^1$, C. O. Reinhold$^{1,2}$, P. Krist\"ofel$^3$, J. Burgd\"orfer$^{1,2,3}$, S. Watanabe$^4$ and F. B. Dunning$^5$ $^1$Department of Physics, University of Tennessee, Knoxville, TN, U.S.A $^2$Physics Division, Oak Ridge National Laboratory, TN, U.S.A $^3$Institute for Theoretical Physics, Vienna Univ. of Technology, Austria $^4$Applied Physics Dept., Univ.of Electro-communications, Tokyo, Japan $^5$Dept. of Physics, Rice Univ., TX, U.S.A. We analyze the dynamics of the periodically kicked Rydberg atom which can be viewed as a simplified model for the transport of atoms through crystals. We study the classical and quantum stabilization of this system against ionization as a function of the the frequency and the strength of the perturbation.