  The paper reviews positive and negative time delays in various processes of
classical and quantum physics. In the beginning, we demonstrate how a
time-shifted response of a system to an external perturbation appears in
classical mechanics and classical electrodynamics. Then we quantify durations
of various quantum mechanical processes. The duration of the quantum tunneling
is studied. An interpretation of the Hartman paradox is suggested. Time delays
and advances appearing in the three-dimensional scattering problem on a central
potential are considered. Then we discuss delays and advances appearing in
quantum field theory and after that we focus on the issue of time delays and
advancements in quantum kinetics. We discuss problems of the application of
generalized kinetic equations in simulations of the system relaxation towards
equilibrium and analyze the kinetic entropy flow. Possible measurements of time
delays and advancements in experiments similar to the recent OPERA neutrino
experiment are also discussed.

Nuclear Theory;Quantum Physics