Spectral surgery technology for quantum graphs

DOI10.1134/S106456241203026XzbMath1357.81097MaRDI QIDQ1761030

V. A. Dedok, Anatoly N. Bondarenko

Publication date: 15 November 2012

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

zbMATH Keywords

scattering matrices for infinite self-similar graphsscattering on noncompact quantum graphs

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)

Surgery principles for the spectral analysis of quantum graphs

Cites Work

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

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