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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-ph2022★ 1 cited
Time evolution and the Schrödinger equation on time dependent quantum graphs
Uzy Smilansky, Gilad Sofer
The purpose of the present paper is to discuss the time dependent Schrödinger equation on a metric graph with time-dependent edge lengths, and the proper way to pose the problem so…