Two-point spectral correlations for star graphs
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Publication:4947867
DOI10.1088/0305-4470/32/45/302zbMath0946.81025OpenAlexW2027092023MaRDI QIDQ4947867
Gregory Berkolaiko, Jonathan P. Keating
Publication date: 25 April 2000
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0305-4470/32/45/302
Applications of graph theory (05C90) General spectral theory of ordinary differential operators (34L05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)
Related Items (16)
Spectral properties of quantum circulant graphs ⋮ Simplicity of eigenvalues and non-vanishing of eigenfunctions of a quantum graph ⋮ Quantum ergodicity for graphs related to interval maps ⋮ Degeneracy in the length spectrum for metric graphs ⋮ Eigenfunction statistics on quantum graphs ⋮ Value distribution of the eigenfunctions and spectral determinants of quantum star graphs ⋮ Maximal scarring for eigenfunctions of quantum graphs ⋮ Conditions for periodic vibrations in a symmetric \(n\)-string ⋮ No quantum ergodicity for star graphs ⋮ Relationship between scattering matrix and spectrum of quantum graphs ⋮ Irregular dynamics in a solvable one-dimensional quantum graph ⋮ Multifractal eigenfunctions for a singular quantum billiard ⋮ Localized eigenfunctions in Šeba billiards ⋮ 5d Dirac fermion on quantum graph ⋮ Rényi and Tsallis entropies related to eigenfunctions of quantum graphs ⋮ Form factor of a quantum graph in a weak magnetic field
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