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Preprints, Working Papers, ... Year : 2014

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

Abstract

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.

Dates and versions

hal-01005325 , version 1 (12-06-2014)

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Alexander Grigor'Yan, Nikolai Nadirashvili, Yannick Sire. A lower bound for the number of negative eigenvalues of Schr\"{o}dinger operators. 2014. ⟨hal-01005325⟩
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