The isospectral fruits of representation theory: quantum graphs and drums

DOI10.1088/1751-8113/42/17/175202zbMath1176.58019arXiv0812.2282OpenAlexW2080553963MaRDI QIDQ3628274

Gilad Ben-Shach, Ori Parzanchevski, Ram Band

Publication date: 19 May 2009

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0812.2282

zbMATH Keywords

isospectral graphsquotient graphinduction of a representation

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) General topics in linear spectral theory for PDEs (35P05) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Spectral theory; eigenvalue problems on manifolds (58C40) Isospectrality (58J53) Boundary value problems on graphs and networks for ordinary differential equations (34B45)

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