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Quantum graph

In mathematics and physics, a quantum graph is a linear, network-shaped structure of vertices connected on edges (i.e., a graph) in which each edge is given a length and where a differential (or pseudo-differential) equation is posed on each edge. An example would be a power network consisting of power lines (edges) connected at transformer stations…

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Overview

Quantum graphs

Theorems

Applications

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Quantum graph

Nodes36
Edges35
Triples20
Avg. degree1.94
Density0.055556
Components1

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Quantum graph

Top relations

has application · 7
Quantum graph → As, Laplace, Naphthalene, Quantum, The, These, Understanding
related to Quantum graphs · 7
Quantum graph → Laplace, Quantum, Sobolev, The, The Hilbert, This, To
related to Metric graphs · 3
Quantum graph → Open, The, These
is a · 1
Quantum graph → linear
see also · 1
Quantum graph → Schild's Ladder

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Important terminology

graph displaystyle quantum operator edge edges graphs conditions matching vertices vertex example spectrum metric one differential pseudo-differential self-adjoint transition model

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Quantum graphis alinear0.90text
the electron.The Dirichlet-to-Neumann operator on a graph is a pseudo-differential operator that arises in the study of photonic crystalsinstance ofis a scalar potential.Another example is the Dirac operator on a graph which is a matrix valued operator acting on vector valued functions that describe the quantum mechanics of…0.80text
Quantum graphhas applicationQuantum0.60section
Quantum graphhas applicationNaphthalene0.60section
Quantum graphhas applicationAs0.60section
Quantum graphhas applicationThese0.60section
Quantum graphhas applicationThe0.60section
Quantum graphhas applicationLaplace0.60section
Quantum graphhas applicationUnderstanding0.60section
Quantum graphrelated to Metric graphsThe0.60section
Quantum graphrelated to Metric graphsOpen0.60section
Quantum graphrelated to Metric graphsThese0.60section

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    Min side: 3
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