On the discrete spectrum of Schroedinger operators with Ahlfors regular potentials in a strip
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.
- Publication:
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arXiv e-prints
- Pub Date:
- March 2019
- DOI:
- 10.48550/arXiv.1903.02331
- arXiv:
- arXiv:1903.02331
- Bibcode:
- 2019arXiv190302331K
- Keywords:
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- Mathematics - Spectral Theory