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 | English |
|---|---|
| Pages (from-to) | 429-451 |
| Number of pages | 23 |
| Journal | Journal of Spectral Theory |
| Volume | 9 |
| Issue number | 2 |
| DOIs | |
| State | Published - 2019 |
Keywords
- Christoffel–Darboux kernel
- Clock behavior
- Schrödinger operator
- Singular continuous spectrum
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics
- Geometry and Topology
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