Description
In this talk I will discuss representation of quantum
dynamics in classical phase space. This representation is
based on the perturbative expansion of dynamics in the
powers of the effective Planck's constant (saddle point
parameter). I will explicitly discuss dynamics in the
coordinate-momentum and the coherent state (number-phase)
representations. I will show how such concepts as Wigner
function, Weyl quantization, Moyal brackets, Bopp operators
and others autmatically follow from the Feynmann's path
integral representation of quantum evolution.
Primary author
Prof.
Anatoli Polkovnikov
(Boston University)