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

We present an extensive numerical study of spectral statistics and eigenfunctions of
quantized triangular billiards. We compute two million consecutive eigenvalues for six …

We study the fundamental question of dynamical tunneling in generic two-dimensional
Hamiltonian systems by considering regular-to-chaotic tunneling rates. Experimentally, we …

We study the tunneling tail of eigenfunctions of the quantum map using arbitrary precision
arithmetic and find that nonmonotonic decaying tails accompanied by step structures appear …

The phenomenon of quantum localization in classically chaotic eigenstates is one of the
main issues in quantum chaos (or wave chaos), and thus plays an important role in general …

We study the quantum mechanics of a billiard (Robnik 1983 J. Phys. A: Math. Gen. 16 3971)
in the regime of mixed-type classical phase space (the shape parameter λ= 0.15) at very …

A statistical analysis of the eigenfrequencies of two sets of superconducting microwave
billiards, one with mushroomlike shape and the other from the family of the Limaçon …

We present the expanded boundary integral method for solving the planar Helmholtz
problem, which combines the ideas of the boundary integral method and the scaling method …

We review the fictitious integrable system approach which predicts dynamical tunneling
rates from regular states to the chaotic region in systems with a mixed phase space. It is …

We demonstrate that the energy or quasienergy level spacing distribution in dynamically
localized chaotic eigenstates is excellently described by the Brody distribution, displaying …