Dirac operators on the half-line: stability of spectrum and non-relativistic limit
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916596266565632 |
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| author | Kramar, David Krejcirik, David |
| author_facet | Kramar, David Krejcirik, David |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_10009 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Dirac operators on the half-line: stability of spectrum and non-relativistic limit Kramar, David Krejcirik, David Spectral Theory Mathematical Physics Analysis of PDEs Quantum Physics 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. |
| title | Dirac operators on the half-line: stability of spectrum and non-relativistic limit |
| topic | Spectral Theory Mathematical Physics Analysis of PDEs Quantum Physics |
| url | https://arxiv.org/abs/2405.10009 |