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Revisiting the Weak Coupling Phenomenon for Two-Dimensional Schrödinger Operators

Behrndt, Jussi et al.
arXiv (All) · Papers
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analysis-of-pdesspectral-theory
We study the existence of negative eigenvalues for two-dimensional Schrödinger operators with real-valued potentials in the weak coupling regime. In his pioneering paper [Simon 1976] from half a century ago, Simon was the first to describe the unique negative eigenvalue emerging from the threshold o
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