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.
Bibliographical noteFunding Information:
1 Supported in part by The Israel Science Foundation (Grant No. 1105/10)
© European Mathematical Society
- Christoffel–Darboux kernel
- Clock behavior
- Schrödinger operator
- Singular continuous spectrum