Spectrum of a dilated honeycomb network

DOI10.1007/s00020-014-2194-1zbMath1318.81027arXiv1405.0694OpenAlexW1965338557MaRDI QIDQ2342942

Ondřej Turek, Pavel Exner

Publication date: 30 April 2015

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.0694

zbMATH Keywords

spectrumLaplace operatorquantum graphhexagon latticevertex \(\delta\)-coupling

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Periodic solutions to functional-differential equations (34K13) Boundary value problems on graphs and networks for ordinary differential equations (34B45) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (5)

Non-symmetric perturbations of self-adjoint operators ⋮ Spectral theory of infinite quantum graphs ⋮ Existence of eigenvalues embedded in the spectral bands of Schrödinger operators on carbon nanotubes with impurities ⋮ On the Spectra of Schrödinger Operators on Zigzag Nanotubes with Multiple Bonds ⋮ Partial Differential Equations on Metric Graphs: A Survey of Results on Optimization, Control, and Stabilizability Problems with Special Focus on Shape and Topological Sensitivity Problems

Cites Work

• On the spectra of carbon nano-structures
• Diophantine approximations and diophantine equations
• Zero measure spectrum for the almost Mathieu operator
• Spectral analysis of percolation Hamiltonians
• Semi-classical measures on quantum graphs and the Gauß map of the determinant manifold
• Contact interactions on graph superlattices
• Quantum graphs: II. Some spectral properties of quantum and combinatorial graphs
• Unnamed Item

This page was built for publication: Spectrum of a dilated honeycomb network