Spectral surgery for the Schrödinger operator on graphs

DOI10.1134/S1064562412030192zbMath1357.81096OpenAlexW2066455815MaRDI QIDQ1761025

V. A. Dedok, Anatoly N. Bondarenko

Publication date: 15 November 2012

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562412030192

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Schrödinger operator, Schrödinger equation (35J10) Scattering theory, inverse scattering involving ordinary differential operators (34L25) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Related Items (1)

The first eigenvalue of the \(p-\)Laplacian on quantum graphs

Cites Work

• Scattering problems on noncompact graphs
• Periodic orbit theory and spectral statistics for quantum graphs
• Two-body scattering on a graph and application to simple nanoelectronic devices
• Graph models for waves in thin structures

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