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Embedded eigenvalues of generalized Schrodinger operators

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journal contribution
posted on 09.09.2020 by Jean-Claude Cuenin
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 Theory

Volume

10

Issue

2

Pages

415 - 437

Publisher

European Mathematical Society

Version

AM (Accepted Manuscript)

Rights holder

© European Mathematical Society

Publisher 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

2020-02-27

Copyright date

2020

ISSN

1664-039X

eISSN

1664-0403

Language

en

Depositor

Dr Jean-Claude Cuenin. Deposit date: 8 September 2020

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