On Reducibility of Schrödinger Equations with Quasiperiodic in Time Potentials



We prove that a linear d-dimensional Schrödinger equation with an x-periodic and t-quasiperiodic potential reduces to an autonomous equation for most values of the frequency vector. The reduction is made by means of a non-autonomous linear transformation of the space of x-periodic functions. This transformation is a quasiperiodic function of t.

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© Springer-Verlag 2008

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of Paris 7ParisFrance
  2. 2.École polytechniquePalaiseauFrance
  3. 3.Department of MathematicsHeriot-Watt UniversityEdinburghUK

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