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Article Dans Une Revue Communications in Mathematical Physics Année : 2009

On Reducibility of Schrödinger Equations with Quasiperiodic in Time Potentials

Résumé

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.

Dates et versions

hal-00832745 , version 1 (11-06-2013)

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Hakan Eliasson, Sergei Kuksin. On Reducibility of Schrödinger Equations with Quasiperiodic in Time Potentials. Communications in Mathematical Physics, 2009, 286 (1), pp.125-135. ⟨10.1007/s00220-008-0683-2⟩. ⟨hal-00832745⟩
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