Analysis of the dispersion equation for the Schrödinger operator on periodic metric graphs

DOI10.1088/0959-7174/14/2/006zbMath1076.47032OpenAlexW2082076859MaRDI QIDQ5461785

B. S. Pavlov, V. L. Oleinik, N. V. Sibirev

Publication date: 26 July 2005

Published in: Waves in Random Media (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0959-7174/14/2/006

zbMATH Keywords

Schrödinger operatorspectral analysisDirichlet-to-Neumann mapcubic lattice type graphs

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General theory of ordinary differential operators (47E05) PDEs in connection with quantum mechanics (35Q40) Boundary value problems on graphs and networks for ordinary differential equations (34B45)

Related Items (4)

On the spectra of carbon nano-structures ⋮ Krein formula with compensated singularities for the ND-mapping and the generalized Kirchhoff condition at the Neumann Schrödinger junction ⋮ Estimation of number of modes in periodic graphs ⋮ Effective numerical method of spectral analysis of quantum graphs

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