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arXiv · 1208.6372

On spectral estimates for the Schrödinger operators in global dimension 2

Grigori Rozenblum·Michael Solomyak
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Abstract

The problem of finding eigenvalue estimates for the Schrödinger operator turns out to be most complicated for the dimension 2. Some important results for this case have been obtained recently. We discuss these results and establish their counterparts for the operators on the combinatorial and metric graphs corresponding to the lattice Z^2.

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Grigori Rozenblum, Michael Solomyak. 2012-08-31. On spectral estimates for the Schrödinger operators in global dimension 2. https://arxiv.org/abs/1208.6372

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