Recovering a quantum graph spectrum from vertex data

DOI10.1088/1751-8113/48/16/165202zbMath1310.05117arXiv1411.3835OpenAlexW3102639216MaRDI QIDQ5248751

Jonathan Rohleder

Publication date: 8 May 2015

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.3835

zbMATH Keywords

Titchmarsh-Weyl function\(\delta\)-type matching conditionsSchrödinger operator on a finite compact metric graph

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Eigenvalues, singular values, and eigenvectors (15A18) Eigenvalue problems for linear operators (47A75) Schrödinger operator, Schrödinger equation (35J10)

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