Relationship between scattering matrix and spectrum of quantum graphs
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Publication:3065738
DOI10.1090/S0002-9947-2010-04897-4zbMath1204.81077arXiv0801.4104MaRDI QIDQ3065738
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Publication date: 6 January 2011
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0801.4104
Quantum chaos (81Q50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)
Related Items (9)
Quantum ergodicity for quantum graphs without back-scattering ⋮ Nodal statistics on quantum graphs ⋮ Quantum ergodicity for large equilateral quantum graphs ⋮ Degenerate band edges in periodic quantum graphs ⋮ Neumann domains on quantum graphs ⋮ Topological resonances on quantum graphs ⋮ Semi-classical measures on quantum graphs and the Gauß map of the determinant manifold ⋮ On the universality of the frequency spectrum and band-gap optimization of quasicrystalline-generated structured rods ⋮ Spectrum of a non-selfadjoint quantum star graph
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