Abstract
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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Communicated by A. Kupiainen
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Eliasson, H.L., Kuksin, S.B. On Reducibility of Schrödinger Equations with Quasiperiodic in Time Potentials. Commun. Math. Phys. 286, 125–135 (2009). https://doi.org/10.1007/s00220-008-0683-2
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DOI: https://doi.org/10.1007/s00220-008-0683-2