most citedOperateurs de Schrodinger quasi-periodiques adiabatiques : Interactions entre les bandes spectrales d'un operateur periodique

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2 papers

math-ph2004★ 1 cited

Operateurs de Schrodinger quasi-periodiques adiabatiques : Interactions entre les bandes spectrales d'un operateur periodique

Alexandre Fedotov, Frederic Klopp

This paper is devoted to the description of our recent results on the spectral behavior of one-dimensional adiabatic quasi-periodic Schrodinger operators. The specific operator we…

math-ph2004

Absolute continuity of the spectrum of a Schrodinger operator with a potential which is periodic in some directions and decays in others

Nikolai Filonov, Frederic Klopp

We prove that the spectrum of a Schrodinger operator that is periodic in certain directions and super-exponentially decaying in the others is purely absolutely continuous.