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Infinite Quantum Graphs
- 1.0488764 - ÚJF 2018 RIV US eng J - Journal Article
Kostenko, A. S. - Malamud, M. M. - Neidhardt, H. - Exner, Pavel
Infinite Quantum Graphs.
Doklady Mathematics. Roč. 95, č. 1 (2017), s. 31-36. ISSN 1064-5624. E-ISSN 1531-8362
R&D Projects: GA ČR(CZ) GA14-06818S
Institutional support: RVO:61389005
Keywords : boundary value problems * Schrodinger operators
OECD category: Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Impact factor: 0.534, year: 2017
Infinite quantum graphs with delta-interactions at vertices are studied without any assumptions on the lengths of edges of the underlying metric graphs. A connection between spectral properties of a quantum graph and a certain discrete Laplacian given on a graph with infinitely many vertices and edges is established. In particular, it is shown that these operators are self-adjoint, lower semibounded, nonnegative, discrete, etc. only simultaneously.
Permanent Link: http://hdl.handle.net/11104/0283300
Number of the records: 1