Singular continuous spectrum in a class of random Schrödinger operators
✍ Scribed by Margherita Barbieri; Marco Maioli; Andrea Sacchetti
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 268 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract The Bethe strip of width __m__ is the cartesian product \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\mathbb {B}\times \lbrace 1,\ldots ,m\rbrace$\end{document}, where \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\mathbb {B
Fermi surfaces are basic objects in solid state physics and in the spectral theory of periodic operators. We define several measures connected to Fermi surfaces and study their measure theoretic properties. From this we get absence of singular continuous spectrum and of singular continuous component
Let H=&2+V be a Schro dinger operator acting in L 2 (S), with S the twodimensional unit sphere, 2 the spherical Laplacian, and V a continuous potential. As is well known, the eigenvalues of H in the l th cluster, i.e., those eigenvalues within a radius sup |V| of l(l+1), the l th eigenvalue of &2, h
## 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