Perturbation series for Jacobi matrices and the quantum Rabi model

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 i...

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Bibliographic Details
Main Authors: Mirna Charif, Lech Zielinski
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2021-04-01
Series:Opuscula Mathematica
Subjects:
Online Access:https://www.opuscula.agh.edu.pl/vol41/3/art/opuscula_math_4116.pdf