𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Scattering for Schrödinger Operators with Magnetic Fields

✍ Scribed by Michael Demuth; El-Maati Ouhabaz


Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
416 KB
Volume
185
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.

✦ Synopsis


Abstract

We study the existence and completeness of the wave operators W~ω~(A(b),‐Δ) for general Schrodinger operators of the form
equation image
is a magnetic potential.


📜 SIMILAR VOLUMES


Unitary reduction for the two-dimensiona
✍ Andrei Eckstein 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 281 KB

## Abstract The spectrum of the two‐dimensional Schrödinger operator with strong magnetic field and electric potential is contained in a union of intervals centered on the Landau levels. The study of the spectrum in any of these intervals is reduced by unitary equivalence to the study of a one‐dime

Graphs with Magnetic Schrödinger Operato
✍ Hein van der Holst 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 224 KB

introduced the graph parameter n(G), which is defined as the maximal corank of any positive semidefinite magnetic Schrödinger operator fulfilling a certain transversality condition. He showed that for connected simple graphs, n(G) [ 1 if and only if G is a tree. In this paper we characterize for k=2

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

Strong Uniqueness for Schrödinger Operat
✍ R. Regbaoui 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 359 KB

We prove a strong unique continuation result for Schrödinger inequalities, i.e., we obtain that a flat \(u\) so that \(|\Delta u| \leqslant|V u|\) should be zero, provided that \(V\) is a radial Kato potential. It gives an extension of a result by E. B. Fabes, N. Garofalo and F. H. Lin [3] who got a