Dirac-Krein systems on star graphs

DOI10.1007/s00020-016-2311-4zbMath1360.81155arXiv1608.05865OpenAlexW2511757488WikidataQ124629922 ScholiaQ124629922MaRDI QIDQ515970

Monika Winklmeier, Vadim Adamjan, Christiane Tretter, Heinz K. Langer

Publication date: 17 March 2017

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.05865

zbMATH Keywords

Dirac operatortrace formulaKrein's resolvent formulastar graphDirac-Krein systemdislocation index

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Eigenvalue problems for linear operators (47A75) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Boundary value problems on graphs and networks for ordinary differential equations (34B45) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items

Dirac operators on infinite quantum graphs ⋮ Inverse problems for the Dirac operator on a star graph ⋮ Compressed resolvents and reduction of spectral problems on star graphs ⋮ Nonlinear Dirac Equation on Graphs with Localized Nonlinearities: Bound States and Nonrelativistic Limit ⋮ Completeness property of one-dimensional perturbations of normal and spectral operators generated by first order systems

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