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Lokalisierung bei zufällig gestörten periodischen Schrödingeroperatoren in Dimension Eins : Diplomarbeit
Veselić, Ivan
We prove Anderson localisation for a randomly perturbed, onedimensional, periodic Schrödinger operator ▫$$H^\omega :=-\Delta + V_0+V^\omega$$▫. The potential ▫$V_0$▫ is periodic and the random ...perturbation is of alloy type: ▫$$V^\omega := \sum_{i\in Z} t(\omega,i)\chi (\cdot -i)$$▫ with ▫$\chi$▫ continuous, nonnegative and of compact support. Here ▫$t(\omega, i), i\in Z$▫ are independed, identically distributed random variables on a probability space ▫$(\Omega,{\cal A},P)$▫ with common density ▫$\mu$▫. The measure ▫$\mu$▫ has a bounded density of ▫$g$▫ of compact support.
Type of material - undergraduate thesis
Publication and manufacture - Bochum : Mathematischer Institut der Ruhr Universität, 1996
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