scientific article; zbMATH DE number 6943289

zbMath1400.34042MaRDI QIDQ4684735

Setenay Akduman, Alexander A. Pankov

Publication date: 25 September 2018

Full work available at URL: https://ejde.math.txstate.edu/Volumes/2018/162/abstr.html#latest

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zbMATH Keywords

Schrödinger operatoreigenfunctionexponential decayinfinite metric graph

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Boundary value problems on graphs and networks for ordinary differential equations (34B45) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (3)

An Agmon estimate for Schrödinger operators on graphs ⋮ Elliptic differential operators on infinite graphs with general conditions on vertices ⋮ Nonlinear Schrödinger equation with growing potential on infinite metric graphs

Cites Work

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• Hilbert space operators in quantum physics
• Functional analysis, Sobolev spaces and partial differential equations
• Exponential decay of eigenfunctions of Schrödinger operators on infinite metric graphs
• Schrödinger operators with locally integrable potentials on infinite metric graphs
• On the Smallness of Isolated Eigenfunctions

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