A lower bound for the number of negative eigenvalues of Schrödinger operators

2014/06/02 by Alexander Grigorʼyan, Nikolaï Nadirashvili, Grigor'yan, Alexander +3
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Differential Geometry (math.DG) #FOS: Mathematics #Graph theory and applications #Mathematical Approximation and Integration #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1406.0317

openalex publication_date 2014/06/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove a lower bound for the number of negative eigenvalues for a Schrödinger operator on a Riemannian manifold via the integral of the potential.

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