Infinite quantum graphs
| Autor: | Pavel Exner, Aleksey Kostenko, Hagen Neidhardt, Mark Malamud |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Discrete mathematics
Dense graph General Mathematics 010102 general mathematics Mathematics::Spectral Theory 01 natural sciences Metric dimension Combinatorics Indifference graph Pathwidth Chordal graph 0103 physical sciences Path graph Graph homomorphism 010307 mathematical physics Multiple edges 0101 mathematics Mathematics |
| Zdroj: | Doklady Mathematics. 95:31-36 |
| ISSN: | 1531-8362 1064-5624 |
| Popis: | Infinite quantum graphs with δ-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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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