Schrödinger operators on regular metric trees with long range potentials: weak coupling behavior

DOI10.1016/j.jde.2009.11.011zbMath1194.34157arXiv0809.1845OpenAlexW2106662847MaRDI QIDQ846973

Hynek Kovařík, Tomas Ekholm, Andreas Enblom

Publication date: 16 February 2010

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.1845

zbMATH Keywords

Schrödinger operatorsFourier-Bessel transformationweak couplingmetric trees

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40)

Related Items (1)

Weakly coupled bound state of 2-D Schrödinger operator with potential-measure

Cites Work

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• Geometry of Sobolev spaces on regular trees and the Hardy inequalities
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• Kirchhoff's rule for quantum wires
• SCHRÖDINGER OPERATORS ON HOMOGENEOUS METRIC TREES: SPECTRUM IN GAPS
• Eigenvalue Estimates for the Weighted Laplacian on Metric Trees
• Quantum graphs: I. Some basic structures
• On the spectrum of the Laplacian on regular metric trees

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