The concepts of time delay and dwell time in quantum mechanics, and their applications to
regular and chaotic scattering, to statistical mechanics, and to the tunneling time problem …

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 offer a new perspective on the problem of characterizing mesoscopic fluctuations in the
interplateau regions of the integer quantum Hall transition. We found that longitudinal and …

We develop a theory of transverse thermoelectric (Peltier) conductivity α xy, in a strong
magnetic field—this particular conductivity is often the most important contribution to the …

We uncover a remarkable quantum scattering phenomenon in two-dimensional Dirac
material systems where the manifestations of both classically integrable and chaotic …

Some scaling properties for classical light ray dynamics inside a periodically corrugated
waveguide are studied by use of a simplified two-dimensional nonlinear area-preserving …

We propose to study unitary matrix ensembles defined in terms of unitary-stochastic
transition matrices associated with Markov processes on graphs. We argue that the spectral …

We argue that many major features in electronic transport in realistic quantum dots are not
explainable by the usual semiclassical approach, due to the contributions of the quantum …

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 …

We report on a hitherto unnoticed type of resonances occurring in scattering from networks
(quantum graphs) which are due to the complex connectivity of the graph—its topology. We …