Publisher DOI: 10.1088/1751-8121/aaa884
Title: Visibility of quantum graph spectrum from the vertices
Language: English
Authors: Kühn, Christian 
Rohleder, Jonathan 
Issue Date: 6-Feb-2018
Source: Journal of Physics A: Mathematical and Theoretical 9 (51): 095204 (2018-02-06)
Abstract (english): 
We investigate the relation between the eigenvalues of the Laplacian with Kirchhoff vertex conditions on a finite metric graph and a corresponding Titchmarsh-Weyl function (a parameter-dependent Neumann-to-Dirichlet map). We give a complete description of all real resonances, including multiplicities, in terms of the edge lengths and the connectivity of the graph, and apply it to characterize all eigenvalues which are visible for the Titchmarsh-Weyl function.
ISSN: 0301-0015
Institute: Mathematik E-10 
Document Type: Article
Journal: Journal of Physics A: Mathematical and Theoretical 
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