Level repulsion for Schrödinger operators with singular continuous spectrum

Jonathan Breuer, Daniel Weissman

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

We describe a family of half-line continuum Schrödinger operators with purely singular continuous spectrum on .0; 1/, exhibiting asymptotic strong level repulsion (known as clock behavior). This follows from the convergence of the renormalized continuum Christoffel–Darboux kernel to the sine kernel.

Original languageAmerican English
Pages (from-to)429-451
Number of pages23
JournalJournal of Spectral Theory
Volume9
Issue number2
DOIs
StatePublished - 2019

Bibliographical note

Publisher Copyright:
© European Mathematical Society

Keywords

  • Christoffel–Darboux kernel
  • Clock behavior
  • Schrödinger operator
  • Singular continuous spectrum

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