- Tytuł:
- Edge Switching Transformations of Quantum Graphs
- Autorzy:
-
Aizenman, M.
Schanz, H.
Smilansky, U.
Warzel, S. - Powiązania:
- https://bibliotekanauki.pl/articles/1030017.pdf
- Data publikacji:
- 2017-12
- Wydawca:
- Polska Akademia Nauk. Instytut Fizyki PAN
- Tematy:
-
05.45.Mt
02.10.Ox - Opis:
- Discussed here are the effects of basics graph transformations on the spectra of associated quantum graphs. In particular it is shown that under an edge switch the spectrum of the transformed Schrödinger operator is interlaced with that of the original one. By implication, under edge swap the spectra before and after the transformation, denoted by {Eₙ}^{∞}ₙ₌₁ and {Ẽₙ}^{∞}ₙ₌₁ correspondingly, are level-2 interlaced, so that Eₙ-₂ ≤ Ẽₙ ≤ Eₙ₊₂. The proofs are guided by considerations of the quantum graphs' discrete analogs.
- Źródło:
-
Acta Physica Polonica A; 2017, 132, 6; 1699-1703
0587-4246
1898-794X - Pojawia się w:
- Acta Physica Polonica A
- Dostawca treści:
- Biblioteka Nauki
Artykuł