Intramolecular vibrational energy transfer is a process central to many physical and
chemical phenomena in molecules. Here, various theories describing the process are …

Abstract CONTENTS § 1. Introduction § 2. Billiards: necessary information § 3. The Markov
lattice: local construction § 4. The Markov lattice: global construction § 5. An estimate for the …

The aim of this Book is to give an overview, based on the results of nearly three decades of
intensive research, of transient chaos. One belief that motivates us to write this book is that …

We develop a theory of transport in Hamiltonian systems in the context of iteration of area-
preserving maps. Invariant closed curves present complete barriers to transport, but in …

It is shown that wave functions of quantum systems as ħ→ 0 have an extra density near
unstable periodic trajectories of the classical problem. The averaged wave function square …

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 …

For beginners: This review presents universal aspects of stochasticity of simple (1.5-or 2-
degree-of-freedom) Hamiltonian systems. Stochasticity is the seemingly erratic wandering of …

We report on experimental observations of chaotic and regular motion of ultracold atoms
confined by a billiard-shaped optical dipole potential induced by a rapidly scanning laser …

We study the mixing behavior of random Lindblad generators with no symmetries, using the
dynamical map or propagator of the dissipative evolution. In particular, we determine the …

Advances in processing technology, such as quantum‐well structures and dry‐etching
techniques, have made it possible to create new types of two‐dimensional (2D) microcavity …