- Tytuł:
- A first-order spectral phase transition in a class of periodically modulated Hermitian Jacobi matrices
- Autorzy:
- Pchelintseva, I.
- Powiązania:
- https://bibliotekanauki.pl/articles/255740.pdf
- Data publikacji:
- 2008
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
Jacobi matrices
spectral phase transition
absolutely continuous spectrum
pure point spectrum
discrete spectrum
subordinacy theory
asymptotics of generalized eigenvectors - Opis:
- We consider self-adjoint unbounded Jacobi matrices with diagonal q(n) = b(n)n and off-diagonal entries λ(n) = n, where b(n) is a 2-periodical sequence of real numbers. The parameter space is decomposed into several separate regions, where the spectrum of the operator is either purely absolutely continuous or discrete. We study the situation where the spectral phase transition occurs, namely the case of b(1)b(2) = 4. The main motive of the paper is the investigation of asymptotics of generalized eigenvectors of the Jacobi matrix. The pure point part of the spectrum is analyzed in detail.
- Źródło:
-
Opuscula Mathematica; 2008, 28, 2; 137-150
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł