Estimates on complex eigenvalues for Dirac operators on the half-line

preprint2013arXivOpen access

Abstract

We derive bounds on the location of non-embedded eigenvalues of Dirac operators on the half-line with non-Hermitian L1L^1-potentials. The results are sharp in the non-relativistic or weak-coupling limit. In the massless case, the absence of discrete spectrum is proved under a smallness assumption.

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