Abstract
We consider the Schrödinger operator - Δ + V in ℝd with periodic potential V in the Kato class. We show that, if d = 2 or d = 3, the spectrum of - Δ + V is purely absolutely continuous.
| Original language | English |
|---|---|
| Pages (from-to) | 873-893 |
| Number of pages | 21 |
| Journal | Illinois Journal of Mathematics |
| Volume | 45 |
| Issue number | 3 |
| DOIs | |
| State | Published - 2001 |
ASJC Scopus subject areas
- General Mathematics
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