Schrödinger operators with purely discrete spectrum

Authors

  • B. Simon Mathematics 253-37, California Institute of Technology, Pasadena, CA 91125, USA 17/10/2008

DOI:

Keywords:

Compact resolvent, Schrödinger operators

Abstract

We prove that $-\Delta +V$ has purely discrete spectrum if $V\geq 0$ and, for all $M$, $|{\{x\mid V(x) < M\}}|<\infty$ and various extensions.

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Published

2009-03-25

Issue

Vol. 15 No. 1 (2009)

Section

Articles

How to Cite

Simon, B. “Schrödinger Operators With Purely Discrete Spectrum”. Methods of Functional Analysis and Topology, vol. 15, no. 1, Mar. 2009, pp. 61-66, https://zen.imath.kiev.ua/index.php/mfat/article/view/409.