تقرير
Approximation of Dirac operators with $\boldsymbol{\delta}$-shell potentials in the norm resolvent sense
| العنوان: | Approximation of Dirac operators with $\boldsymbol{\delta}$-shell potentials in the norm resolvent sense |
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| المؤلفون: | Behrndt, Jussi, Holzmann, Markus, Stelzer, Christian |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Spectral Theory |
| الوصف: | In this paper the approximation of Dirac operators with general $\delta$-shell potentials supported on $C^2$-curves in $\mathbb{R}^2$ or $C^2$-surfaces in $\mathbb{R}^3$, which may be bounded or unbounded, is studied. It is shown under suitable conditions on the weight of the $\delta$-interaction that a family of Dirac operators with regular, squeezed potentials converges in the norm resolvent sense to the Dirac operator with the $\delta$-shell interaction. Comment: 58 pages; comments welcome |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2308.13344 |
| رقم الأكسشن: | edsarx.2308.13344 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |