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Localization for off-diagonal disorder and for continuous Schrödinger operators

✍ Scribed by François Delyon; Barry Simon; Bernard Souillard


Publisher
Springer
Year
1987
Tongue
English
Weight
660 KB
Volume
109
Category
Article
ISSN
0010-3616

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Localization for Schrödinger Operators w
✍ Günter Stolz 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 338 KB

Our goal is to show that large classes of Schro dinger operators H=&2+V in L 2 (R d ) exhibit intervals of dense pure point spectrum, in any dimension d. We approach this by assuming that the potential V(x) coincides with a potential V 0 (x) of a ``comparison operator'' H 0 =&2+V 0 on a sequence of