Quantum graphs with summable matrix potentials

DOI10.1134/S1064562419050016zbMath1435.81081OpenAlexW2975679261WikidataQ126808250 ScholiaQ126808250MaRDI QIDQ2304344

Yaroslav Granovskyi, Mark M. Malamud, Hagen Neidhardt

Publication date: 11 March 2020

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562419050016

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General spectral theory of ordinary differential operators (34L05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) (S)-matrix theory, etc. in quantum theory (81U20) Connectivity (05C40) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items

Non-compact quantum graphs with summable matrix potentials

Cites Work

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• Spectral analysis on graph-like spaces
• Generalized resolvents and the boundary value problems for Hermitian operators with gaps
• Spectral theory of infinite quantum graphs
• Scattering matrices and Dirichlet-to-Neumann maps
• On some sharp spectral inequalities for Schrödinger operators on semiaxis