Dirac operators on infinite quantum graphs
DOI10.1134/S1061920822030025OpenAlexW4295227135WikidataQ114075038 ScholiaQ114075038MaRDI QIDQ2674913
S. A. C. Loredo-Ramírez, Víctor Barrera-Figueroa, Vladimir S. Rabinovich
Publication date: 14 September 2022
Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s1061920822030025
Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Spectrum, resolvent (47A10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Spinor and twistor methods applied to problems in quantum theory (81R25) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)
Cites Work
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- Dirac-Krein systems on star graphs
- Essential spectrum of perturbed pseudodifferential operators. Applications to the Schrödinger, Klein-Gordon, and Dirac operators
- Spectra of Schrödinger operators on equilateral quantum graphs
- On the spectra of carbon nano-structures
- On the essential spectrum of quantum graphs
- Limit operators and their applications in operator theory
- Spectral theory of infinite quantum graphs
- Limit operators techniques on general metric measure spaces of bounded geometry
- Deficiency indices and discreteness property of block Jacobi matrices and Dirac operators with point interactions
- An affirmative answer to a core issue on limit operators
- On the quantum graph spectra of graphyne nanotubes
- Wave packets in honeycomb structures and two-dimensional Dirac equations
- Schrödinger operators on zigzag nanotubes
- Zeta functions of the Dirac operator on quantum graphs
- Spectral asymptotics and regularized traces for Dirac operators on a star-shaped graph
- The free Dirac operator on compact and noncompact graphs
- Quantum graphs with spin Hamiltonians
- Spectral Properties of High Contrast Band-Gap Materials and Operators on Graphs
- Kirchhoff's rule for quantum wires
- Spectral statistics for the Dirac operator on graphs
- Intermediate statistics for a system with symplectic symmetry: the Dirac rose graph
- Parameter dependent differential operators on graphs and their applications
- Sobolev Spaces, Their Generalizations and Elliptic Problems in Smooth and Lipschitz Domains
- Spectral band localization for Schrödinger operators on discrete periodic graphs
- Ambarzumyan-type theorems on star graphs
- Graph models for waves in thin structures
- Quantum graphs: I. Some basic structures
- Quantum graphs: II. Some spectral properties of quantum and combinatorial graphs
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