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.
Original language | English |
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Pages (from-to) | 411-438 |
Number of pages | 28 |
Journal | Communications in Mathematical Physics |
Volume | 122 |
Issue number | 3 |
DOIs | |
State | Published - Sep 1989 |