Unbounded quantum graphs with unbounded boundary conditions

DOI10.1002/mana.201200135zbMath1328.47023arXiv1205.1944OpenAlexW1553337914WikidataQ59311976 ScholiaQ59311976MaRDI QIDQ5169941

Ivan Veselić, Carsten Schubert, Daniel H. Lenz

Publication date: 16 July 2014

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.1944

zbMATH Keywords

boundary conditionsmatching conditionsselfadjoint operatorLaplacianquantum graph

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Boundary value problems on graphs and networks for ordinary differential equations (34B45) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (7)

Infinite quantum graphs ⋮ Boundary systems and (skew‐)self‐adjoint operators on infinite metric graphs ⋮ \(j\)-self-adjointness conditions for Jacobi matrices and Schrödinger and Dirac operators with point interactions ⋮ Spectral enclosures for non-self-adjoint extensions of symmetric operators ⋮ Dissipative extensions and port-Hamiltonian operators on networks ⋮ Spectral theory of infinite quantum graphs ⋮ New relations between discrete and continuous transition operators on (metric) graphs

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