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On the Quasi-Stationary Approach to Scattering for Perturbations Periodic in Time

  • Dimitri R. Yafaev
Chapter
Part of the Mathematical Physics Studies book series (MPST, volume 12)

Abstract

Scattering of a plane wave by a time-periodic potential is described by a system of coupled stationary Schrödinger equations. Each equation corresponds to a channel when energy is changed by some integer number. The interaction of a plane wave with a quasi-bound state of a time-periodic potential well is investigated. It is shown that for resonant energies this interaction does not vanish as a coupling constant of a perturbation tends to zero.

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Copyright information

© Springer Science+Business Media Dordrecht 1991

Authors and Affiliations

  • Dimitri R. Yafaev
    • 1
  1. 1.Leningrad Department of Math. Inst. (LOMI)LeningradUSSR

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