The distinction between level clustering and level repulsion is one of the quantum
analogues of the classical distinction between globally regular and predominantly chaotic …

The scattering problems of a scalar point particle from an assembly of 1< n<∞ non-
overlap** and disconnected hard disks, fixed in the two-dimensional plane, belong to the …

Harmonic inversion is introduced as a powerful tool for both the analysis of quantum spectra
and semiclassical periodic orbit quantization. The method allows one to circumvent the …

We propose a method which directly gives all eigenvalues and eigenfunctions of a two-
dimensional billiard in a narrow energy range by solving a generalized eigenvalue problem …

Gutzwiller's trace formula yields the exact quantum-mechanical single-particle level density
in two-and more-dimensional harmonic-oscillator potentials with irrational frequency ratios …

An extension of the Gutzwiller trace formula is given that includes diffraction effects due to
hard wall scatterers or other singularities. The new trace formula involves periodic orbits …

A new method for exact quantization of general bound Hamiltonian systems is presented. It
is the quantum analogue of the classical Poincare surface-of-section (SOS) reduction of …

Quantum dynamics of a collection of atoms subjected to phase modulation has been
carefully revisited. We present an exact analysis of the evolution of a two-level system …

The construction of the trace formula for open dielectric cavities is examined in detail. Using
the Krein formula it is shown that the sum over cavity resonances can be written as a sum …

For the first time a three-dimensional (3D) chaotic billiard—the 3D Sinai billiard—was
quantized, and high-precision spectra with thousands of eigenvalues were calculated. We …