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

Jean-Claude Cuenin

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arXiv · 1311.6773

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

Jean-Claude Cuenin

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Abstract

We derive bounds on the location of non-embedded eigenvalues of Dirac operators on the half-line with non-Hermitian $L^1$-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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BibTeX RIS

Jean-Claude Cuenin. 2013-11-26. Estimates on complex eigenvalues for Dirac operators on the half-line. https://arxiv.org/abs/1311.6773

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