Spectral properties of the singular Friedrichs-Lee Hamiltonian
Mathematical Physics
2021-03-16 v2 math.MP
Quantum Physics
Abstract
We show that the Friedrichs-Lee model, which describes the one-excitation sector of a two-level atom interacting with a structured boson field, can be generalized to singular atom-field couplings. We provide a characterisation of its spectrum and resonances and discuss the inverse spectral problem.
Keywords
Cite
@article{arxiv.1910.05957,
title = {Spectral properties of the singular Friedrichs-Lee Hamiltonian},
author = {Paolo Facchi and Marilena Ligabò and Davide Lonigro},
journal= {arXiv preprint arXiv:1910.05957},
year = {2021}
}
Comments
42 pages, 1 figure