Lev Kaplan, University of Washington

We discuss recent progress in the study of quantum wave functions and transport in classically ergodic
systems. Surprisingly, short-time classical dynamics leaves permanent imprints on long-time and stationary
quantum behavior, imprints that are absent from the long-time classical motion. These imprints can lead to
fine-scale quantum behavior that differs greatly from random matrix theory expectations. Robust and
quantitative predictions are obtained using semiclassical methods. Applications include wave structure on a
disordered lattice, distribution of tunneling rates in an open system, structure of many-body fermion
systems with random 2-body interactions, and the Coulomb blockade conductance peak distribution in quantum
dots.