## 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
✦ LIBER ✦
Absolutely Continuous Spectrum of Schrödinger Operators with Slowly Decaying and Oscillating Potentials
✍ Scribed by A. Laptev; S. Naboko; O. Safronov
- Publisher
- Springer
- Year
- 2004
- Tongue
- English
- Weight
- 225 KB
- Volume
- 253
- Category
- Article
- ISSN
- 0010-3616
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