We review the development of random-matrix theory (RMT) during the last fifteen years. We
emphasize both the theoretical aspects, and the application of the theory to a number of …

A contemporary review on the behavior of driven tunneling in quantum systems is
presented. Diverse phenomena, such as control of tunneling, higher harmonic generation …

During recent years we could bear witness to an immense research activity, both in
experimental and theoretical physics, as well as in chemistry, aimed at understanding the …

We discuss and give evidence for the existence of a new mechanism for quantum dynamical
tunneling. It may occur when a quantum system's underlying classical dynamics are far from …

We review a theory for coupled many-nonlinear oscillator systems that describes quantum
ergodicity and energy flow in molecules. The theory exploits the isomorphism between …

Partial transport barriers in the chaotic sea of Hamiltonian systems influence classical
transport, as they allow for a small flux between chaotic phase-space regions only. We find …

We investigate the effect of the structure of a mixed (regular and chaotic) phase-space on
the process of tunneling. This is done by studying the way in which classical transport in …

This overview focuses on the notion of partial dynamical symmetry (PDS), for which a
prescribed symmetry is obeyed by a subset of solvable eigenstates, but is not shared by the …

The quantum dynamics of a particle in a double-well potential under a monochromatic
external driving force is computed by using a minimum-uncertainty Gaussian wave packet …

We study quantum-mechanical tunneling in mixed dynamical systems between symmetry-
related phase space tori separated by a chaotic layer. Considering, eg, the annular billiard …