- Tytuł:
- Geometric properties of quantum graphs and vertex scattering matrices
- Autorzy:
-
Kurasov, P.
Nowaczyk, M. - Powiązania:
- https://bibliotekanauki.pl/articles/255512.pdf
- Data publikacji:
- 2010
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
scattering theory
quantum graphs
matching (boundary) conditions - Opis:
- Differential operators on metric graphs are investigated. It is proven that vertex matching (boundary) conditions can be successfully parameterized by the vertex scattering matrix. Two new families of matching conditions are investigated: hyperplanar Neumann and hyperplanar Dirichlet conditions. Using trace formula it is shown that the spectrum of the Laplace operator determines certain geometric properties of the underlying graph.
- Źródło:
-
Opuscula Mathematica; 2010, 30, 3; 295-309
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł