Perturbation of embedded eigenvalues in the generalizedN-body problem |
| |
| Authors: | Shmuel Agmon Ira Herbst Erik Skibsted |
| |
| Institution: | (1) Department of Mathematics, Hebrew University of Jerusalem, Israel;(2) Department of Mathematics, University of Virginia, 22901 Charlottesville, Virginia, USA;(3) Mathematics Institute, Aarhus University, Denmark |
| |
| Abstract: | We discuss the perturbation of continuum eigenvalues without analyticity assumptions. Among our results, we show that generally a small perturbation removes these eigenvalues in accordance with Fermi's Golden Rule. Thus, generically (in a Baire category sense), the Schrödinger operator has no embedded non-threshold eigenvalues.Supported in part by NSF Grant DMS 8602826 |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
