Abstract
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.
Citation
Zhongwei Shen. "Absolute continuity of periodic Schrödinger operators with potentials in the Kato class." Illinois J. Math. 45 (3) 873 - 893, Fall 2001. https://doi.org/10.1215/ijm/1258138157
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