Quantum graphs and dimensional crossover: the honeycomb

We summarize features and results on the problem of the existence of Ground States for the Nonlinear Schrödinger Equation on doubly-periodic metric graphs. We extend the results known for the two–dimensional square grid graph to the honeycomb, made of infinitely-many identical hexagons. Specifically...

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Bibliographic Details
Main Authors: Adami Riccardo, Dovetta Simone, Ruighi Alice
Format: Article
Language:English
Published: Sciendo 2019-01-01
Series:Communications in Applied and Industrial Mathematics
Subjects:
Online Access:https://doi.org/10.2478/caim-2019-0016