There are numerous physical situations in which a hole or leak is introduced in an otherwise
closed chaotic system. The leak can have a natural origin, it can mimic measurement …

We investigate the properties of eigenstates and local density of states (LDOS) for a periodic
two-dimensional rippled billiard, focusing on their quantum-classical correspondence in …

This book covers one of the most exciting but most difficult topics in the modern theory of
dynamical systems: chaotic billiards. In physics, billiard models describe various mechanical …

The central, two-fold aim of this paper is to expose a class of nonintegrable systems whose
solutions can be analytically expressed in terms of computationally tractable algorithms and …

Classical-quantum correspondence for conservative chaotic Hamiltonians is investigated in
terms of the structure of the eigenfunctions and the local density of states, using as a model …

Free motion on constant negative curvature surfaces with finite area gives rise to some of the
best models for studying the quantum behavior of classically chaotic systems. Quite …

The impression gained from the literature published to date is that the spectrum of the
stadium billiard can be adequately described, semiclassically, by the Gutzwiller periodic …

A hard line-segment barrier lies in a periodic cell in the plane, parallel to one edge, and half
its length. This constitutes perhaps the simplest pseudo-integrable system, and the classical …

A generic family of plane billiards has been discovered recently. The shape of the boundary
is given by the quadratic conformal image of the unit circle, and is thus real analytic. For …

A planar domain D contains a single line of magnetic flux Phi. Switching on Phi breaks time-
reversal symmetry (T) for quantal particles with charge q moving in D, whilst preserving the …