Mourre's inequality and embedded bound states |
| |
Authors: | Laura Cattaneo |
| |
Institution: | a Institut für Theoretische Physik, ETH Hönggerberg, CH-8093 Zürich, Switzerland b Institut für Angewandte Mathematik, Abteilung für Wahrscheinlichkeitstheorie und Statistik, Universität Bonn, Wegelerstr. 6, D-53115 Bonn, Germany |
| |
Abstract: | A self-adjoint operator H with an eigenvalue λ embedded in the continuum spectrum is considered. Boundedness of all operators of the form AnP is proved, where P is the eigenprojection associated with λ and A is any self-adjoint operator satisfying Mourre's inequality in a neighborhood of λ and such that the higher commutators of H with A up to order n+2 are relatively bounded with respect to H. |
| |
Keywords: | 81Q10 47A63 47A75 35J10 |
本文献已被 ScienceDirect 等数据库收录! |
|