تقرير
Nonrelativistic Limit of Generalized MIT Bag Models and Spectral Inequalities
العنوان: | Nonrelativistic Limit of Generalized MIT Bag Models and Spectral Inequalities |
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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. |