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math-ph2022★ 5 cited
Differences between Robin and Neumann eigenvalues on metric graphs
Ram Band, Holger Schanz, Gilad Sofer
We consider the Laplacian on a metric graph, equipped with Robin (-type) vertex condition at some of the graph vertices and Neumann-Kirchhoff condition at all others. The corres…
math-ph2017★ 6 cited
Edge switching transformations of quantum graphs
Michael Aizenman, Holger Schanz, Uzy Smilansky +1
Discussed here are the effects of basics graph transformations on the spectra of associated quantum graphs. In particular it is shown that under an edge switch the spectrum of the…
math-ph2017★ 7 cited
Delay-time distribution in the scattering of time-narrow wave packets (II) - Quantum Graphs
Uzy Smilansky, Holger Schanz
We apply the framework developed in the preceding paper in this series (Smilansky 2017 J. Phys. A: Math. Theor. 50, 215301) to compute the time-delay distribution in the scattering…