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.
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Communicated by B. Simon
Supported in part by NSF Grant DMS 8602826
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Agmon, S., Herbst, I. & Skibsted, E. Perturbation of embedded eigenvalues in the generalizedN-body problem. Commun.Math. Phys. 122, 411–438 (1989). https://doi.org/10.1007/BF01238435
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DOI: https://doi.org/10.1007/BF01238435