Schrödinger Operators with Purely Discrete Spectrum

• Date: 2009
• Main Author: Simon, B.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/5699
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Schrödinger operators with purely discrete spectrum / B. Simon // Methods of Functional Analysis and Topology. — 2009. — Т. 15, № 1. — С. 61-66. — Бібліогр.: 25 назв. — англ.

We prove that −Δ+V has purely discrete spectrum if V ≥ 0 and, for all M, |{x | V (x)<M}| < ∞ and various extensions.