A lower bound for the number of negative eigenvalues of Schr\"{o}dinger operators

Alexander Grigor'yan; Nikolai Nadirashvili; Yannick Sire

arxiv: 1406.0317 · v1 · pith:7GLM35YInew · submitted 2014-06-02 · 🧮 math.DG

A lower bound for the number of negative eigenvalues of Schr\"{o}dinger operators

Alexander Grigor'yan , Nikolai Nadirashvili , Yannick Sire This is my paper

classification 🧮 math.DG

keywords bounddingereigenvalueslowernegativenumberschrintegral

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We prove a lower bound for the number of negative eigenvalues for a Schr\"{o}dinger operator on a Riemannian manifold via the integral of the potential.

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A lower bound for the number of negative eigenvalues of Schr\"{o}dinger operators

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