On reducibility of schrödinger equations with quasiperiodic in time potentials

Håkan L. Eliasson; Sergei B. Kuksin

doi:10.1007/s00220-008-0683-2

On reducibility of schrödinger equations with quasiperiodic in time potentials

Håkan L. Eliasson, Sergei B. Kuksin

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107 Citations (Scopus)

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. © 2008 Springer-Verlag.

Original language	English
Pages (from-to)	125-135
Number of pages	11
Journal	Communications in Mathematical Physics
Volume	286
Issue number	1
DOIs	https://doi.org/10.1007/s00220-008-0683-2
Publication status	Published - Feb 2009

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abstract = "We prove that a linear d-dimensional Schr{\"o}dinger 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. {\textcopyright} 2008 Springer-Verlag.",

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AB - 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. © 2008 Springer-Verlag.

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JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

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On reducibility of schrödinger equations with quasiperiodic in time potentials

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