Peter A. Markowich
Faculty of Mathematics, University of Vienna
Wolfgang Pauli Institute
Date: May 3, 2005
We present classical WKB asymptotics and the modern phase space approach for semiclassical limit and homogenization problems. The important feature of the phase space approach, which is based on Wigner functions and Wigner measures, lies in the fact that caustics are 'unfolded' and thus can be crossed without difficulty. Typical examples are the Schrödinger equation, the Dirac equation, the Maxwell equations etc.