Eigenvalue cluster traces for quantum graphs with equal edge lengths

DOI10.1216/RMJ-2012-42-2-467zbMath1267.34056OpenAlexW2110986208MaRDI QIDQ422038

J. Herrera, H. S. Yoon

Publication date: 16 May 2012

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1335187161

zbMATH Keywords

graphSchrödinger operatorLaplace operatoreigenfunctionsorthogonal functions

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Boundary value problems on graphs and networks for ordinary differential equations (34B45) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (1)

A Gelfand-Levitan trace formula for generic quantum graphs

Cites Work

• Wave equations for graphs and the edge-based Laplacian
• A characteristic equation associated to an eigenvalue problem on \(c^ 2\)-networks
• Spectral asymptotics for quantum graphs with equal edge lengths
• Quantum graphs: I. Some basic structures
• Quantum Graphs and Their Applications
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