Differences between Robin and Neumann eigenvalues on metric graphs

DOI10.1007/s00023-023-01401-2MaRDI QIDQ6584572

Holger Schanz, Gilad Sofer, Ram Band

Publication date: 8 August 2024

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Mathematics Subject Classification ID

Graph theory (05Cxx) General mathematical topics and methods in quantum theory (81Qxx) Ordinary differential operators (34Lxx)

Cites Work

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• The trace formula for quantum graphs with general self adjoint boundary conditions
• Periodic orbit theory and spectral statistics for quantum graphs
• Nodal statistics on quantum graphs
• The Maslov index and the spectra of second order elliptic operators
• Differences between Robin and Neumann eigenvalues
• On the Robin spectrum for the hemisphere
• Neumann domains on quantum graphs
• Semi-classical measures on quantum graphs and the Gauß map of the determinant manifold
• Relationship between scattering matrix and spectrum of quantum graphs
• Semiclassical quantization of billiards with mixed boundary conditions
• Periodic Schrödinger operators with large gaps and Wannier-Stark ladders
• The Robin problem on rectangles
• Dependence of the spectrum of a quantum graph on vertex conditions and edge lengths
• Spectrum of a non-selfadjoint quantum star graph
• On the level spacing distribution in quantum graphs.
• The heat kernel on the diagonal for a compact metric graph
• Comparing the spectrum of Schrödinger operators on quantum graphs
• A note on Ambarzumian's theorem for quantum graphs
• Universality of Nodal Count Distribution in Large Metric Graphs

Related Items (1)

Some spectral comparison results on infinite quantum graphs

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