Perturbation of embedded eigenvalues in the generalized N-body problem

Shmuel Agmon*, Ira Herbst, Erik Skibsted

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

38 Scopus citations

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 languageEnglish
Pages (from-to)411-438
Number of pages28
JournalCommunications in Mathematical Physics
Volume122
Issue number3
DOIs
StatePublished - Sep 1989

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