We argue semiclassically, on the basis of Gutzwiller's periodic-orbit theory, that full classical
chaos is paralleled by quantum energy spectra with universal spectral statistics, in …

We apply Selberg's trace formula to solve problems in hyperbolic band theory, a recently
developed extension of Bloch theory to model band structures on experimentally realized …

We describe a semiclassical method to calculate universal transport properties of chaotic
cavities. While the energy-averaged conductance turns out governed by pairs of entrance-to …

We consider the semiclassical limit of the spectral form factor K (τ) of fully chaotic dynamics.
Starting from the Gutzwiller-type double sum over classical periodic orbits we set out to …

We semiclassically derive the leading off-diagonal correction to the spectral form factor of
quantum systems with a chaotic classical counterpart. To this end we present a phase space …

The spectral fluctuations of a quantum Hamiltonian system with time-reversal symmetry are
studied in the semiclassical limit by using periodic-orbit theory. It is found that, if long …

We show that in the semiclassical limit, classically chaotic systems have universal spectral
statistics. Concentrating on short-time statistics, we identify the pairs of classical periodic …

We consider universal shot noise in ballistic chaotic cavities from a semiclassical point of
view and show that it is due to action correlations within certain groups of classical …

Physicists have argued that periodic orbit bunching leads to universal spectral fluctuations
for chaotic quantum systems. To establish a more detailed mathematical understanding of …

One motivation for deriving semiclassical methods for chaotic systems like the Gutzwiller
trace formula was to find a substitute for the EBK quantisation rules which provide …