Atlas home || Conferences | Abstracts | about Atlas

19th International Conference on Operator Theory
June 27 - July 2, 2002
Institute of Mathematics of the Romanian Academy and the Faculty of Mathematics of the West University of Timisoara
Timisoara, Romania

View Abstracts
Conference Homepage

Propagation Properties for Schroedinger Operators Affiliated to Certain C*-Algebras
by
Radu Purice
IMAR
Coauthors: Amrein Werner, Mantoiu Marius

We consider anisotropic Schroedinger operators H=-\Delta+V in L2(Rn). To certain asymptotic regions F we assign asymptotic Hamiltonians HF such that (a) \sigma(HF) subset \sigmaess(H), (b) states with energies not belonging to \sigma(HF) do not propagate into a neighbourhood of F under the evolution group defined by H. The proof relies on C*-algebra techniques.

Date received: June 19, 2002

Copyright © 2002 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caiz-81.