Energy Transfer in Scattering by Rotating Potentials

Details Energy Transfer in Scattering by Rotating Potentials Energy Transfer in Scattering by Rotating Potentials

2001-12-06

arxiv.org/abs/math-ph/0112009v2

Proc. Indian Acad. Sci. (Math. Sci.) Vol. 112 (2002), 55 - 70

Physics

Mathematical Physics

To appear in the Proceedings of the Workshop on Spectral and Inverse Spectral Problems for Schroedinger Operators, Goa, India,

Scientific paper

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.

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