Abstract
We present an extension of the Gilbert-Pearson theory of subordinacy, which relates dimensional Hausdorff spectral properties of one-dimensional Schrödinger operators to the behavior of solutions of the corresponding Schrödinger equation. We use this theory to analyze these properties for several examples having the singular-continuous spectrum, including sparse barrier potentials, the almost Mathieu operator and the Fibonacci Hamiltonian.
| Original language | American English |
|---|---|
| Pages (from-to) | 1765-1769 |
| Number of pages | 5 |
| Journal | Physical Review Letters |
| Volume | 76 |
| Issue number | 11 |
| DOIs | |
| State | Published - 1996 |
| Externally published | Yes |