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Spectra of Half-Infinite Quantum Graph Tubes

2016/01/19 by Jeremy Tillay, Tillay, Jeremy
Materials Science · Mathematics · Physics and Astronomy · #Carbon Nanotubes in Composites #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1601.05029

10 pages

openalex publication_date 2016/01/19 · arxiv created 2016/01/25 · arxiv updated 2016/01/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Carbon nanotubes are a feverishly-studied topic in the scientific community as of late. Mathematically, they can be modeled with a quantum graph. Here we consider a structure somewhat similar to carbon nanotubes, another quantum graph that is formed by rolling a square lattice instead of a graphene structure. This symmetry imposes properties that make certain motions easier to study by creating convenient pairs of incoming and outgoing motions.

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