Nonrelativistic Limit of Generalized MIT Bag Models and Spectral Inequalities
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866916300829229056 |
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| author | Behrndt, Jussi Frymark, Dale Holzmann, Markus Stelzer-Landauer, Christian |
| author_facet | Behrndt, Jussi Frymark, Dale Holzmann, Markus Stelzer-Landauer, Christian |
| contents | For a family of self-adjoint Dirac operators $-i c (α\cdot \nabla) + \frac{c^2}{2}$ subject to generalized MIT bag boundary conditions on domains in $\mathbb R^3$ it is shown that the nonrelativistic limit in the norm resolvent sense is the Dirichlet Laplacian. This allows to transfer spectral geometry results for Dirichlet Laplacians to Dirac operators for large $c$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_14550 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Nonrelativistic Limit of Generalized MIT Bag Models and Spectral Inequalities Behrndt, Jussi Frymark, Dale Holzmann, Markus Stelzer-Landauer, Christian Spectral Theory Mathematical Physics Analysis of PDEs For a family of self-adjoint Dirac operators $-i c (α\cdot \nabla) + \frac{c^2}{2}$ subject to generalized MIT bag boundary conditions on domains in $\mathbb R^3$ it is shown that the nonrelativistic limit in the norm resolvent sense is the Dirichlet Laplacian. This allows to transfer spectral geometry results for Dirichlet Laplacians to Dirac operators for large $c$. |
| title | Nonrelativistic Limit of Generalized MIT Bag Models and Spectral Inequalities |
| topic | Spectral Theory Mathematical Physics Analysis of PDEs |
| url | https://arxiv.org/abs/2312.14550 |