Spectra of magnetic chain graphs: coupling constant perturbations

DOI10.1088/1751-8113/48/12/125302zbMath1309.05092arXiv1412.6089OpenAlexW2037592797MaRDI QIDQ5245653

Pavel Exner, Stepan S. Manko

Publication date: 14 April 2015

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.6089

zbMATH Keywords

band spectrumquantum graphdistant perturbationsweak perturbation asymptotics

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Eigenvalues, singular values, and eigenvectors (15A18) Perturbations of ordinary differential equations (34D10)

Related Items (6)

Periodic quantum graphs from the Bethe–Sommerfeld perspective ⋮ An exact formula for the number of negative eigenvalues for zigzag carbon nanotubes with \(\delta\) impurities ⋮ Spectral properties of magnetic chain graphs ⋮ Green's function approach for quantum graphs: an overview ⋮ Existence of eigenvalues embedded in the spectral bands of Schrödinger operators on carbon nanotubes with impurities ⋮ Cantor spectra of magnetic chain graphs

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