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 …

Kicked rotor is a paradigmatic model for classical and quantum chaos in time-dependent
Hamiltonian systems. More than fifty years since the introduction of this model, there is an …

A closed quantum-mechanical system with a large number of degrees of freedom does not
necessarily give time averages in agreement with the microcanonical distribution. For …

We reduce a random-band-matrix (RBM) problem to a one-dimensional, nonlinear,
supersymmetric, σ model. This reduction becomes exact in the limit b→∞, b being the …

Scaling properties of band random matrices Page 1 VOLUME 64 16 APRIL 1990 NUMBER 16
Scaling Properties of Band Random Matrices Giulio Casatir' and Luca Molinari '1 Oipartimento …

Consider $ N\times N $ symmetric one-dimensional random band matrices with general
distribution of the entries and band width $ W\geq N^{3/4+\varepsilon} $ for any …

This paper examines the statistical properties of random quantum states, for four different
kinds of random state:(1) a pure state chosen at random with respect to the uniform measure …

Quantum chaos plays a significant role in understanding several important questions of
recent theoretical and experimental studies. Here, by focusing on the localization properties …

The spatial-localization properties of general lattice distributions (eg, charge distribution of
one-particle eigenstates) are studied. We have introduced a localization quantity, the …

We study the band-random-matrix model for conservative Hamiltonian systems, originally
proposed by Wigner in 1955. On the basis of numerical data we show that both the global …