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.

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Bibliographic Details
Main Author: Jean-Claude Cuenin
Format: Default Article
Published: 2020
Subjects:
Embedded eigenvalues
Schrodinger operator
Pseudodifferential operators
Dirac operator
Fourier restriction
Online Access:https://hdl.handle.net/2134/12928523.v1
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