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Absence of localization in a class of Schrödinger operators with quasiperiodic potential

✍ Scribed by François Delyon; Dimitri Petritis


Publisher
Springer
Year
1986
Tongue
English
Weight
195 KB
Volume
103
Category
Article
ISSN
0010-3616

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The Periodic Schrödinger Operators with
✍ Zhongwei Shen 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 260 KB

We consider the periodic Schro¨dinger operator ÀD þ VðxÞ in R d ; d53 with potential V in the Morrey class. Let O be a periodic cell for V: We show that, for p 2 ððd À 1Þ=2; d=2; there exists a positive constant e depending only on the shape of O; p and d such that, if lim sup r!0 sup x2O r 2 1 jBðx