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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/112/01/0055-0070

    • Keywords

       

      Schrödinger operators; scattering theory; rotating potentials

    • Abstract

       

      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.

    • Author Affiliations

       

      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
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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