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On the Absolutely Continuous Spectrum of Multi-Dimensional Schrödinger Operators with Slowly Decaying Potentials

✍ Scribed by Oleg Safronov


Publisher
Springer
Year
2004
Tongue
English
Weight
128 KB
Volume
254
Category
Article
ISSN
0010-3616

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📜 SIMILAR VOLUMES


Absolutely continuous spectrum of discre
✍ Ahyoung Kim; Alexander Kiselev 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 220 KB

## Abstract We show that when a potential __b~n~__ of a discrete Schrödinger operator, defined on __l__^2^(ℤ^+^), slowly oscillates satisfying the conditions __b~n~__ ∈ __l__^∞^ and ∂__b~n~__ = __b__~__n__ +1~ – __b~n~__ ∈ __l^p^__, __p__ < 2, then all solutions of the equation __Ju__ = __Eu__ are