Spectral properties of the singular Friedrichs-Lee Hamiltonian

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 characterization of its spectrum and resonances and discuss the inverse spectral problem.

Automated summary

This study extends the Friedrichs-Lee model to singular atom-field couplings, characterizes its spectrum and resonances, and discusses the inverse spectral problem.