Embedded eigenvalues of generalized Schr\"odinger operators
classification
🧮 math-ph
math.MPmath.SP
keywords
eigenvaluesembeddedoperatorsconnectionconstantcounterexamplescurvaturedecay
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We provide examples of operators $T(D)+V$ 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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