Equilateral quantum graphs and boundary triples

zbMath1153.81499arXiv0712.1501MaRDI QIDQ3545448

Olaf Post

Publication date: 10 December 2008

Full work available at URL: https://arxiv.org/abs/0712.1501

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Applications of operator theory in the physical sciences (47N50) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) General theory of ordinary differential operators (47E05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Topological linear spaces and related structures (46A99)

Related Items (12)

Continuity of the integrated density of states on random length metric graphs ⋮ Spectral enclosures for non-self-adjoint extensions of symmetric operators ⋮ Spectral analysis on infinite Sierpiński fractafolds ⋮ Imaging geometric graphs using internal measurements ⋮ First order approach and index theorems for discrete and metric graphs ⋮ An example of unitary equivalence between self-adjoint extensions and their parameters ⋮ On the nonlinear Dirac equation on noncompact metric graphs ⋮ Nonlinear Dirac Equation on Graphs with Localized Nonlinearities: Bound States and Nonrelativistic Limit ⋮ Eigenvalue bracketing for discrete and metric graphs ⋮ Unitary dimension reduction for a class of self-adjoint extensions with applications to graph-like structures ⋮ Localization on quantum graphs with random edge lengths ⋮ An overview on the standing waves of nonlinear Schrödinger and Dirac equations on metric graphs with localized nonlinearity

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