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 …

Using two coupled quartic oscillators for illustration, the quantum mechanics of simple
systems whose classical analogs have varying degrees of non-integrability is investigated …

Over the past two decades scientists, mathematicians, and engineers have come to
understand that a large variety of systems exhibit complicated evolution with time. This …

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 study quantized classically chaotic maps on a toroidal two-diensional phase space. A
discrete, topological criterion for phase-space localization is presented. To each …

A generic one-parameter family of billiards discovered and introduced by Robnik (1983) is
used to study the spectral properties of corresponding quantum systems. When the …

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 …

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 …

The tunneling phenomenon in chaotic systems is analyzed in terms of the complex semi-
classical method in the time domain. In contrast to the tunneling paths in integrable systems …