Embedded eigenvalues of generalized Schrödinger operators

2017/09/20 by Cuenin, Jean-Claude
#FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.1709.06989

Abstract

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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