We prove that the spectrum of a Schrödinger operator that is periodic in certain directions and super-exponentially decaying in the others is purely absolutely continuous.
Publié le : 2004-04-09
Classification:
absolutely continuous spectrum,
Periodic Schrödinger operators,
35P05 ; 35Q40 ; 81Q10,
[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph],
[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP],
[MATH.MATH-SP]Mathematics [math]/Spectral Theory [math.SP]
@article{hal-00001120,
author = {Filonov, Nikolai and Klopp, Fr\'ed\'eric},
title = {Absolute continuity of the spectrum of a Schr\"odinger operator with a potential which is periodic in some directions and decays in others},
journal = {HAL},
volume = {2004},
number = {0},
year = {2004},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00001120}
}
Filonov, Nikolai; Klopp, Frédéric. Absolute continuity of the spectrum of a Schrödinger operator with a potential which is periodic in some directions and decays in others. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00001120/