Isospectrality for graph Laplacians under the change of coupling at graph vertices

DOI10.4171/JST/117zbMath1346.81048arXiv1405.2997MaRDI QIDQ294061

Irina I. Karpenko, Alexander V. Kiselev, Yulia Yu. Ershova

Publication date: 9 June 2016

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.2997

zbMATH Keywords

Schrödinger operatorLaplace operatorinverse spectral problemquantum graphsboundary triplesisospectral graphstrace formulae

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Spectrum, resolvent (47A10) Inverse problems involving ordinary differential equations (34A55) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (8)

Spectral enclosures for non-self-adjoint extensions of symmetric operators ⋮ On inverse topology problem for Laplace operators on graphs ⋮ Scattering theory for a class of non-selfadjoint extensions of symmetric operators ⋮ Linear Operators and Operator Functions Associated with Spectral Boundary Value Problems ⋮ Functional model for extensions of symmetric operators and applications to scattering theory ⋮ Time-Dispersive Behavior as a Feature of Critical-Contrast Media ⋮ Norm-resolvent convergence of one-dimensional high-contrast periodic problems to a Kronig-Penney dipole-type model ⋮ Unified approach to critical-contrast homogenisation with explicit links to time-dispersive media

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