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 …

In recent years chaotic behavior in scattering problems has been found to be important in a
host of physical situations. Concurrently, a fundamental understanding of the dynamics in …

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 …

According to theorems of Shnirelman and followers, in the semiclassical limit the quantum
wave functions of classically ergodic systems tend to the microcanonical density on the …

Ever since the end of the 1970's, heat exchangers have known some new applications
linked to the need of the energy expense optimisation. Fouling of such heat exchangers is …

A formalism is developed for calculating high coefficients cr of the Weyl (high energy)
expansion for the trace of the resolvent of the Laplace operator in a domain B with smooth …

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 …

Quantum chaos is reviewed from the viewpoint of “what is molecule?”, particularly placing
emphasis on their dynamics. Molecules are composed of heavy nuclei and light electrons …