Number of bound states of schrödinger operators with matrix-valued potentials

Rupert L. Frank, Elliott H. Lieb, Robert Seiringer

Research output: Contribution to journalArticle

3 Scopus citations

Abstract

We give a Cwikel-Lieb-Rozenblum type bound on the number of bound states of Schrödinger operators with matrix-valued potentials using the functional integral method of Lieb. This significantly improves the constant in this inequality obtained earlier by Hundertmark.

Original languageEnglish (US)
Pages (from-to)107-116
Number of pages10
JournalLetters in Mathematical Physics
Volume82
Issue number2-3
DOIs
StatePublished - Dec 1 2007

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Keywords

  • Cwikel-Lieb-Rozenblum inequality
  • Lieb-Thirring inequality
  • Schrödinger operator

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