Gaps in the spectrum of a cuboidal periodic lattice graph

DOI10.1016/S0034-4877(19)30027-8zbMath1441.81102arXiv1801.02572MaRDI QIDQ2194230

Ondřej Turek

Publication date: 25 August 2020

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.02572

zbMATH Keywords

continued fractionquantum graphirrational numberBethe-Sommerfeld conjectureperiodic lattice

Mathematics Subject Classification ID

Continued fractions (11A55) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (1)

Continued fractions with bounded even-order partial quotients

Cites Work

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• Second basic theorem of Hurwitz
• A remark on two dimensional periodic potentials
• Bethe-Sommerfeld conjecture
• The spectrum band structure of the three-dimensional Schrödinger operator with periodic potential
• Diophantine approximation
• Asymptotic of the density of states for the Schrödinger operator with periodic electric potential
• High-energy asymptotics of the spectrum of a periodic square lattice quantum graph
• Contact interactions on graph superlattices
• Periodic quantum graphs from the Bethe–Sommerfeld perspective
• Quantum graphs: II. Some spectral properties of quantum and combinatorial graphs
• The creation of spectral gaps by graph decoration

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