A note on local behavior of eigenfunctions of the Schrödinger operator

Abstract

We show that a real eigenfunction of the Schrödinger operator changes sign near some point in ${\mathbb{R}}^n$ under a suitable assumption on the potential.

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

Cited by in corpus (1)

• On absolute continuity of the spectrum of periodic Schrödinger operators