We summarize the properties of eigenvalues and eigenfunctions of the Laplace operator in
bounded Euclidean domains with Dirichlet, Neumann, or Robin boundary condition. We …

This is a comprehensive review of the nodal domains and lines of quantum billiards,
emphasizing a quantitative comparison of theoretical findings to experiments. The nodal …

Quantum chaos is generally referred to as the study of quantum manifestations or
fingerprints of nonlinear dynamical and chaotic behaviors in the corresponding classical …

We study individual eigenstates of quantized area-preserving maps on the 2-torus which are
classically chaotic. In order to analyze their semiclassical behavior, we use the Bargmann …

QUALITATIVE insight into the properties of a quantum-mechanical system can be gained
from the study of the relationship between the system's classical newtonian dynamics, and …

The theory of scarring of eigenfunctions of classically chaotic systems by short periodic
orbits is extended in several ways. The influence of short-time linear recurrences on …

The electronic energy levels and eigenfunctions of a wide potential well in a double barrier
structure with a large tilted magnetic field are investigated in the regime of strong classical …

A unique introduction to the concepts of quantum mechanics, Quantum Evolution addresses
the present status of time-dependent quantum mechanics for few-body systems with …

The development of chaos theory has fundamentally changed our understanding of a large
variety of nonlinear dynamical phenomena. The question of what chaos can do to a …

For about 200 eigenfrequencies of a Sinai-shaped three-dimensional microwave resonator
electromagnetic field distributions were mapped by measuring the eigenfrequency shift Δ ν …