2001/12/31 by Volker Enss, Vadim Kostrykin, Robert Schrader
Physics and Astronomy · Mathematics · #math-ph #math.MP #msc:81U05 #msc:35P25
published as Proc. Indian Acad. Sci. (Math. Sci.) Vol. 112 (2002), 55 - 70 · To appear in the Proceedings of the Workshop on Spectral and Inverse Spectral Problems for Schroedinger Operators, Goa, India, December 14 - 20, 2000
arxiv created 2002/01/30 · arxiv updated 2009/11/30
Quantum mechanical scattering theory is studied for time-dependent Schroedinger 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 transfered to a particle by a collision with a rotating blade.