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 …

Using Gutzwiller's semiclassical periodic-orbit theory, we demonstrate universal behavior of
the two-point correlator of the density of levels for quantum systems whose classical limit is …

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 …

A general semiclassical expression for quantum fidelity (Loschmidt echo) of arbitrary pure
and mixed states is derived. It expresses fidelity as an interference sum of dephasing …

For certain types of quantum graphs we show that the random matrix form factor can be
recovered to at least third order in the scaled time τ from periodic-orbit theory. We consider …

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 present a semiclassical calculation of the generalized form factor K ab (τ) which
characterizes the fluctuations of matrix elements of the operators a ̂ and b ̂ in the …

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 …