Research output: Contribution to journal › Article › peer-review
We prove that the spectrum of a Schrödinger operator with a potential which is periodic in certain directions and super-exponentially decaying in the others is purely absolutely continuous. Therefore, we reduce the operator using the Bloch-Floquet-Gelfand transform in the periodic variables, and show that, except for at most a set of quasi-momenta of measure zero, the reduced operators satisfies a limiting absorption principle.
Original language | English |
---|---|
Pages (from-to) | 107-121 |
Number of pages | 15 |
Journal | Documenta Mathematica |
Volume | 9 |
Issue number | 1 |
State | Published - 1 Dec 2004 |
ID: 51315052