A note on the Dirac operator with Kirchoff-type vertex conditions on noncompact metric graphs
Analysis of PDEs
2021-02-08 v3 Mathematical Physics
Functional Analysis
math.MP
Abstract
In this note we present some properties of the Dirac operator on noncompact metric graphs with Kirchoff-type vertex conditions. In particular, we discuss the specific features of the spectrum of the operator and, finally, we give some further details on the associated quadratic form (and on the form domain).
Keywords
Cite
@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}
}
Comments
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