38 citations · 106 across the 5 of their papers we have counts for
5 papers
Statistical properties of the localization measure of chaotic eigenstates and the spectral statistics in a mixed-type billiard
Benjamin Batistić, Črt Lozej, Marko Robnik
We study the quantum localization in the chaotic eigenstates of a billiard with mixed-type phase space, after separating the regular and chaotic eigenstates, in the regime of sligh…
Exponential Fermi acceleration in general time-dependent billiards
Benjamin Batistić
It is shown, that under very general conditions, a generic time-dependent billiard, for which a phase-space of corresponding static (frozen) billiards is of the mixed type, exhibit…
Fermi acceleration in chaotic shape-preserving billiards
Benjamin Batistić
We study theoretically and numerically the velocity dynamics of fully chaotic time-dependent shape-preserving billiards. The average velocity of an ensemble of initial conditions g…
Statistical properties of 1D parametrically kicked Hamilton systems
Dimitris Andresas, Benjamin Batistic, Marko Robnik
We study the 1D Hamilton systems and their statistical behaviour, assuming the initial microcanonical distribution and describing its change under a parametric kick, which by defin…
Quantum localization of chaotic eigenstates and the level spacing distribution
Benjamin Batistić, Marko Robnik
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 qu…