Quantum solids, liquids, and gases program:Phase space representation of quantum dynamics

by Prof. Anatoli Polkovnikov (Boston University)

Thursday 5 Aug 2010, 13:45 → 14:45 Europe/Stockholm

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.