On the Spectra of Schrödinger Operators on Zigzag Nanotubes with Multiple Bonds

DOI10.1619/fesi.62.255zbMath1423.81084OpenAlexW2969683181MaRDI QIDQ5234855

Hiroaki Niikuni

Publication date: 4 October 2019

Published in: Funkcialaj Ekvacioj (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1619/fesi.62.255

zbMATH Keywords

spectral gapband structurequantum graphcarbon nanotubeHill operatorzigzag nanotubeFloquet-Bloch theory

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Boundary value problems on graphs and networks for ordinary differential equations (34B45) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) Quantum waveguides, quantum wires (82D77) Statistical mechanics of nanostructures and nanoparticles (82D80)

Related Items (1)

Periodic quantum graphs with predefined spectral gaps

Cites Work

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• On the spectrum of a bent chain graph
• Kirchhoff's rule for quantum wires

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