On the discrete spectrum of Schroedinger operators with Ahlfors regular potentials in a strip

Martin Karuhanga

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arXiv · 1903.02331

On the discrete spectrum of Schroedinger operators with Ahlfors regular potentials in a strip

Martin Karuhanga

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Abstract

In this paper, quantitative upper estimates for the number of eigenvalues lying below the essential spectrum of Schroedinger operators with potentials generated by Ahlfors regular measures in a strip subject to two different types of boundary conditions (Robin and Dirichlet respectively) are presented. The estimates are presented in terms of weighted L^1 norms and Orlicz norms of the potential.

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Martin Karuhanga. 2019-03-06. On the discrete spectrum of Schroedinger operators with Ahlfors regular potentials in a strip. https://arxiv.org/abs/1903.02331

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