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Schrödinger operators; scattering theory; rotating potentials

Quantum mechanical scattering theory is studied for time-dependent Schrödinger operators, in particular for particles in a rotating potential. Under various assumptions about the decay rate at infinity we show uniform boundedness in time for the kinetic energy of scattering states, existence and completeness of wave operators, and existence of a conserved quantity under scattering. In a simple model we determine the energy transferred to a particle by collision with a rotating blade.

Volker Enss¹ Vadim Kostrykin² Robert Schrader³

1. Institut für Reine und Angewandte Mathematik, Rheinisch-Westfälische Technische Hochschule Aachen, Templergraben 55, Aachen - D-52062, Germany
2. Fraunhofer-Institut für Lasertechnik, Steinbachstrasse 15, Aachen - D-52074, Germany
3. Institut für Theoretische Physik, Freie Universität Berlin, Arnimallee 14, Berlin - D-14195, Germany

Published

February 2002