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 language | American English |
|---|---|
| Pages (from-to) | 429-451 |
| Number of pages | 23 |
| Journal | Journal of Spectral Theory |
| Volume | 9 |
| Issue number | 2 |
| DOIs | |
| State | Published - 2019 |
Bibliographical note
Funding Information:1 Supported in part by The Israel Science Foundation (Grant No. 1105/10)
Publisher Copyright:
© European Mathematical Society
Keywords
- Christoffel–Darboux kernel
- Clock behavior
- Schrödinger operator
- Singular continuous spectrum