Estimates on Complex Eigenvalues for Dirac Operators on the Half-Line

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作者
Jean-Claude Cuenin
机构
[1] Mathematisches Institut der Universität München,
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Primary 47A75; Secondary 34L40; Dirac operator; complex potentials; non-selfadjoint operators; non-relativistic limit;
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摘要
We derive bounds on the location of non-embedded eigenvalues of Dirac operators on the half-line with non-Hermitian L1-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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页码:377 / 388
页数:11
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