Quantum dynamics of nanostructures is studied. Floquet Scattering Theory is developed and applied to the studies of electronic transport in semi-conductor heterostructures under strong optical radiation. Transmission resonances result from the interaction of electrons with the oscillating field by means of photon emission and absorption. Photon-assisted-tunneling (PAT) is observed and agrees with experiments. Strong driving field produces nonlinear effects which may increase the stability of quantum systems with underlying chaos. Quantum chaos is studied for a nano scale ripple billiard model. Energy spacing statistical analysis is performed. Quantum-classical correspondences, including the scarring effect and pattern formation are observed. |