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 …

Evidence for the applicability of random-matrix theory to nuclear spectra is reviewed. In
analogy to systems with few degrees of freedom, one speaks of chaos (more accurately …

The quantum dynamics of mesoscopic or macroscopic systems is always complicated by
their coupling to manyenvironmental'modes. At low Tthese environmental effects are …

Exotic stochastic processes are shown to emerge in the quantum evolution of complex
systems. Using influence function techniques, we consider the dynamics of a system …

A transport theory is developed for collective motion of systems such as an atomic nucleus,
which may be considered as a typical representative of a self-bound micro-system. Albeit for …

We study the quantum entanglement caused by unitary operators that have classical limits
that can range from the near integrable to the completely chaotic. Entanglement in the …

For quantum systems that are weakly coupled to a much'bigger'environment, thermalization
of possibly far from equilibrium initial ensembles is demonstrated: for sufficiently large times …

We make the first steps toward a generic theory for energy spreading and quantum
dissipation. The Wall formula for the calculation of friction in nuclear physics and the Drude …

We study quasicritical phenomena in transitions between two “quantum phases” of a finite
boson system, described by the interacting boson model 1 used in nuclear physics. The …

Consider a time-dependent Hamiltonian H (Q, P; x (t)) with periodic driving x (t)= A sin (Ω t). It
is assumed that the classical dynamics is chaotic, and that its power spectrum extends over …