关于非紧度量图上具 Kirchoff 型顶点条件的 Dirac 算子的注记
偏微分方程分析
2021-02-08 v3 数学物理
泛函分析
math.MP
摘要
在本注记中，我们给出非紧度量图上具 Kirchoff 型顶点条件的 Dirac 算子的一些性质。特别地，我们讨论该算子谱的具体特征，最后给出关于相关二次型（以及型定义域）的进一步细节。
引用
@article{arxiv.1902.00012,
title = {A note on the Dirac operator with Kirchoff-type vertex conditions on noncompact metric graphs},
author = {William Borrelli and Raffaele Carlone and Lorenzo Tentarelli},
journal= {arXiv preprint arXiv:1902.00012},
year = {2021}
}
备注
Book chapter in the volume "Mathematical Challenges of Zero-Range Physics: Models, Methods, Rigorous Results, Open Problems". 16 pages, 5 figures. Keywords: Dirac operator, metric graphs, spectral analysis, self-adjoint extensions, boundary triplets. arXiv admin note: text overlap with arXiv:1807.06937