Cuenin_JST_revision.pdf (357.16 kB)
Embedded eigenvalues of generalized Schrodinger operators
We provide examples of operators T(D)+V in L2(Rd) with decaying potentials that have embedded eigenvalues. The decay of the potential depends on the curvature of the (Fermi) surfaces of constant kinetic energy T. We make the connection to counterexamples in Fourier restriction theory.
History
School
- Science
Department
- Mathematical Sciences
Published in
Journal of Spectral TheoryVolume
10Issue
2Pages
415 - 437Publisher
European Mathematical SocietyVersion
- AM (Accepted Manuscript)
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© European Mathematical SocietyPublisher statement
This paper was accepted for publication in the journal Journal of Spectral Theory and the definitive published version is available at https://doi.org/10.4171/JST/298.Publication date
2020-02-27Copyright date
2020ISSN
1664-039XeISSN
1664-0403Publisher version
Language
- en
Depositor
Dr Jean-Claude Cuenin. Deposit date: 8 September 2020Usage metrics
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