Dirac operators on the half-line: stability of spectrum and non-relativistic limit

David Kramar; David Krejcirik

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arXiv · 2405.10009

Dirac operators on the half-line: stability of spectrum and non-relativistic limit

David Kramar·David Krejcirik

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Abstract

We consider Dirac operators on the half-line, subject to generalised infinite-mass boundary conditions. We derive sufficient conditions which guarantee the stability of the spectrum against possibly non-self-adjoint potential perturbations and study the optimality of the obtained results. Finally, we establish a non-relativistic limit which makes a relationship of the present model to the Robin Laplacian on the half-line.

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BibTeX RIS

David Kramar, David Krejcirik. 2024-05-16. Dirac operators on the half-line: stability of spectrum and non-relativistic limit. https://arxiv.org/abs/2405.10009

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