Eigenvalue clusters of the Landau Hamiltonian in the exterior of a compact domain.
Pushnitski, Alexander, Rozenblum, Grigori (2007)
Documenta Mathematica
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Displaying similar documents to “Invariance of essential spectra for generalized Schrödinger operators.”
Eigenvalue clusters of the Landau Hamiltonian in the exterior of a compact domain.
The L q spectra and Rényi dimension of generalized inhomogeneous self-similar measures
Przemysław Liszka (2014)
Open Mathematics
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Very recently bounds for the L q spectra of inhomogeneous self-similar measures satisfying the Inhomogeneous Open Set Condition (IOSC), being the appropriate version of the standard Open Set Condition (OSC), were obtained. However, if the IOSC is not satisfied, then almost nothing is known for such measures. In the paper we study the L q spectra and Rényi dimension of generalized inhomogeneous self-similar measures, for which we allow an infinite number of contracting similarities and...
On the spectrum of -contracting operators.
Al-Nayef, Anwar A. (2001)
Journal of Applied Mathematics and Stochastic Analysis
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Point shift characterization of Palm measures on abelian groups.
Heveling, Matthias, Last, Günter (2007)
Electronic Journal of Probability [electronic only]
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Nonlinear potential theory and Sobolev spaces
Hedberg, Lars Inge
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The spectrum of a class of almost periodic operators.
Riedel, Norbert (2003)
International Journal of Mathematics and Mathematical Sciences
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The Allegretto-Piepenbrink theorem for strongly local Dirichlet forms.
Lenz, Daniel, Stollmann, Peter, Veselić, Ivan (2009)
Documenta Mathematica
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Optimal measures for the fundamental gap of Schrödinger operators
Nicolas Varchon (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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We study the potential which minimizes the fundamental gap of the Schrödinger operator under the total mass constraint. We consider the relaxed potential and prove a regularity result for the optimal one, we also give a description of it. A consequence of this result is the existence of an optimal potential under constraints.
Absolute continuity of the spectrum of a Schrödinger operator with a potential which is periodic in some directions and decays in others.
Filonov, N., Klopp, F. (2004)
Documenta Mathematica
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