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 …

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

The dependence of eigenvalues on a system parameter is frequently illustrated by a family
of loci. When two loci approach each other, they often cross or abruptly diverge. The latter …

We numerically investigate statistical properties of short-wavelength normal modes and the
spectrum for the Helmholtz equation in a two-dimensional stadium-shaped region. As the …

In the semiclassical limit, quantum mechanics shows differences between classically
integrable abd chaotic systems. Here we review recent developments in this field. Topics …

A generic family of plane billiards has been discovered recently. The shape of the boundary
is given by the quadratic conformal image of the unit circle, and is thus real analytic. For …

For a model quantum system the distributions of the spacings between adjacent levels in
specified intervals of the energy spectrum are fitted by the Brody distribution. This analysis …

Avoided crossings influence spectra and intramolecular redistribution of energy. A
semiclassical theory of these avoided crossings shows that when primitive semiclassical …

Key experimental and theoretical features of mass-independent fractionation (MIF) of
isotopes, also known as the η-effect, are summarized, including its difference from the exit …

The Fourier transform approach to EBK quantization, previously applied to nonresonant
systems with up to four degrees of freedom [J. Chem. Phys. 8 3, 2990 (1985)], is extended to …