- Tytuł:
- Perturbation series for Jacobi matrices and the quantum Rabi model
- Autorzy:
-
Charif, Mirna
Zielinski, Lech - Powiązania:
- https://bibliotekanauki.pl/articles/2051897.pdf
- Data publikacji:
- 2021
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
Jacobi matrix
unbounded self-adjoint operators
quasi-degenerate eigenvalue perturbation
perturbation series
quantum Rabi model
rotating wave approximation - Opis:
- We investigate eigenvalue perturbations for a class of infinite tridiagonal matrices which define unbounded self-adjoint operators with discrete spectrum. In particular we obtain explicit estimates for the convergence radius of the perturbation series and error estimates for the Quantum Rabi Model including the resonance case. We also give expressions for coefficients near resonance in order to evaluate the quality of the rotating wave approximation due to Jaynes and Cummings. .
- Źródło:
-
Opuscula Mathematica; 2021, 41, 3; 303-333
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł