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 …

We show that a bounded, isolated quantum system of many particles in a specific initial state
will approach thermal equilibrium if the energy eigenfunctions which are superposed to form …

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Quantum Chaos Stöckmann, Hans-Jürgen Abstract Preface; 1. Introduction; 2. Billiard …

The semiclassical (SC) initial value representation (IVR) provides a potentially practical way
for adding quantum mechanical effects to classical molecular dynamics (MD) simulations of …

We study the decoherence of a one-particle system, whose classical correspondent is
chaotic, when it evolves coupled to a weak quenched environment. This is done by …

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 …

Rather general expressions are derived which represent the semiclassical time‐dependent
propagator as an integral over initial conditions for classical trajectories. These allow one to …

A graduate-level text that examines the semiclassical approach to quantum mechanics
Physical systems have been traditionally described in terms of either classical or quantum …

Out-of-time-order correlators (OTOCs) have been proposed as sensitive probes for chaos in
interacting quantum systems. They exhibit a characteristic classical exponential growth, but …