Absolute continuity of periodic Schrödinger operators with potentials in the Kato class
Shen, Zhongwei
Illinois J. Math., Tome 45 (2001) no. 4, p. 873-893 / Harvested from Project Euclid
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We consider the Schrödinger operator $-\Delta +V$ in $\mathbb{R}^d$ with periodic potential $V$ in the Kato class. We show that, if $d=2$ or $d=3$, the spectrum of $-\Delta +V$ is purely absolutely continuous.
Publié le : 2001-07-15
Classification:  35J10,  47A10,  47F05,  81Q10 
@article{1258138157,
     author = {Shen, Zhongwei},
     title = {Absolute continuity of periodic Schr\"odinger operators with potentials in the Kato class},
     journal = {Illinois J. Math.},
     volume = {45},
     number = {4},
     year = {2001},
     pages = { 873-893},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1258138157}
}

Shen, Zhongwei. Absolute continuity of periodic Schrödinger operators with potentials in the Kato class. Illinois J. Math., Tome 45 (2001) no. 4, pp.  873-893. http://gdmltest.u-ga.fr/item/1258138157/