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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The author gratefully acknowledges the support of Schweizerischer Nationalfonds, SNF, through the postdoc stipend PBBEP2__136596. He would also like to thank the Institut Mittag-Leffler for the kind hospitality within the RIP (Research in Peace) programme 2013, during which part of this manuscript was written. Special thanks go to Ari Laptev for useful discussions. Finally, the author thanks an anonymous referee for helpful comments.
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Cuenin, JC. Estimates on Complex Eigenvalues for Dirac Operators on the Half-Line. Integr. Equ. Oper. Theory 79, 377–388 (2014). https://doi.org/10.1007/s00020-014-2146-9
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DOI: https://doi.org/10.1007/s00020-014-2146-9