Discrete magnetic bottles on quasi-linear graphs

DOI10.1007/s11785-018-00883-xzbMath1479.05210OpenAlexW2906956800MaRDI QIDQ2313029

Zied Medini

Publication date: 18 July 2019

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-018-00883-x

zbMATH Keywords

discrete magnetic Schrödinger operatorsspectral comparison theorems for quadratic forms

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Schrödinger operator, Schrödinger equation (35J10) Infinite graphs (05C63) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Cites Work

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• Essential self-adjointness for combinatorial Schrödinger operators. II. Metrically non complete graphs
• Laplacians of infinite graphs. I: Metrically complete graphs
• Essential self-adjointness for combinatorial Schrödinger operators. III: Magnetic fields
• The magnetic Laplacian acting on discrete cusps
• Essential spectrum and Weyl asymptotics for discrete Laplacians
• Magnetic bottles on geometrically finite hyperbolic surfaces
• L'asymptotique de Weyl pour les bouteilles magnétiques. (The Weyl asymptotic formula for magnetic bottles)
• Discrete magnetic Laplacian
• Hardy inequality and asymptotic eigenvalue distribution for discrete Laplacians
• Note on the spectrum of discrete Schr\"odinger operators
• Discrete Schrödinger operators on a graph
• The creation of spectral gaps by graph decoration

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