Energy Transfer in Scattering by Rotating Potentials

Proceedings Mathematical Sciences

Vadim Kostrykin³  Robert Schrader²  Volker Enss¹ 

[1] Institut für Reine und Angewandte Mathematik, Rheinisch-Westfälische Technische Hochschule Aachen, Templergraben , D-0 Aachen, Germany$$;Institut für Theoretische Physik, Freie Universität Berlin, Arnimallee , D- Berlin, Germany$$;Fraunhofer-Institut für Lasertechnik, Steinbachstrasse , D-0 Aachen, Germany$$

关键词: Schrödinger operators;    scattering theory;    rotating potentials.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

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.

【 授权许可】

Unknown