A note on local behavior of eigenfunctions of the Schrödinger operator

2014/02/24 by Ihyeok Seo, Seo, Ihyeok
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP

paper · pdf · doi:10.48550/arxiv.1402.5701

To appear in J. Math. Phys., 6 pages

arxiv created 2015/05/24 · arxiv updated 2015/05/26

Abstract

We show that a real eigenfunction of the Schrödinger operator changes sign near some point in ℝⁿ under a suitable assumption on the potential.

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