English

A note on local behavior of eigenfunctions of the Schr\"odinger operator

Analysis of PDEs 2015-05-26 v3

Abstract

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

Keywords

Cite

@article{arxiv.1402.5701,
  title  = {A note on local behavior of eigenfunctions of the Schr\"odinger operator},
  author = {Ihyeok Seo},
  journal= {arXiv preprint arXiv:1402.5701},
  year   = {2015}
}

Comments

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