تقرير
Nonrelativistic Limit of Generalized MIT Bag Models and Spectral Inequalities
| العنوان: | Nonrelativistic Limit of Generalized MIT Bag Models and Spectral Inequalities |
|---|---|
| المؤلفون: | Behrndt, Jussi, Frymark, Dale, Holzmann, Markus, Stelzer-Landauer, Christian |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics Mathematical Physics |
| مصطلحات موضوعية: | Mathematics - Spectral Theory, Mathematical Physics, Mathematics - Analysis of PDEs |
| الوصف: | For a family of self-adjoint Dirac operators $-i c (\alpha \cdot \nabla) + \frac{c^2}{2}$ 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 $c$. Comment: Revised version |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2312.14550 |
| رقم الأكسشن: | edsarx.2312.14550 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |