In this review, a general algorithm for constructing coherent states of dynamical groups for a
given quantum physical system is presented. The result is that, for a given dynamical group …

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

Describes the chaos apparent in simple mechanical systems with the goal of elucidating the
connections between classical and quantum mechanics. It develops the relevant ideas of …

What is the behavior of a low-dimensional quantal system whose classical, deterministic,
Hamiltonian, counterpart is non-integrable and undergoes a transition to chaos? After a …

The experimental and theoretical studies of the microwave ionization of highly excited
hydrogen atoms provide a unique opportunity to explore two new frontiers of modern …

We study the role of periodic trajectories and other classical structures on single
eigenfunctions of the quantized version of the baker's transformation. Due to the simplicity of …

Localization in the quantum kicked rotator (QKR) problem leads to nontrivial dynamical
correlations that are absent in the classical limit. These correlations are related to the …

The hydrodynamic analogy for quantum mechanics is developed in a quantum phase-space
representation. The key technical step in this development is the formulation of a phase …

A new quantum mechanism for the suppression of chaotic ionization of highly excited
hydrogen atoms explains the appearance of anomalously stable states in the microwave …

We compare the classical and quantum mechanics of a system whose classical dynamics
are dominated by chaos. We observe a quantum" scars" of short periodic orbits. By …