On the ground state of quantum graphs with attractive \(\delta \)-coupling

DOI10.1016/j.physleta.2011.12.035zbMath1255.81160arXiv1110.1800OpenAlexW1968773817MaRDI QIDQ1933163

Pavel Exner, Michal Jex

Publication date: 22 January 2013

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.1800

zbMATH Keywords

ground statequantum graphattractive \(\delta \) coupling

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

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Cites Work

• Extremal properties of eigenvalues for a metric graph.
• Hermitian symplectic geometry and extension theory
• Contact interactions on graph superlattices
• Kirchhoff's rule for quantum wires
• Dependence of the spectrum of a quantum graph on vertex conditions and edge lengths
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