28 citations
- Université Sorbonne Paris NordFR4 papers
- Centre National de la Recherche ScientifiqueFR2 papers
- Institut de recherche mathématique de RennesFR2 papers
- Laboratoire de Mathématiques d'OrsayFR2 papers
- Institut de Mathématiques de Jussieu-Paris Rive GaucheFR1 paper
- Laboratoire de Mathématiques Blaise PascalFR1 paper
- Université de BordeauxFR1 paper
- Université de RennesFR1 paper
- University of California, RiversideUS1 paper
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math-ph2004
Weakly resonant tunneling interactions for adiabatic quasi-periodic Schrodinger operators
Alexander Fedotov, Frederic Klopp
In this paper, we study spectral properties of the one dimensional periodic Schrodinger operator with an adiabatic quasi-periodic perturbation. We show that in certain energy regio…
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.