Spectral properties of the singular Friedrichs-Lee Hamiltonian

Published 14 Oct 2019 in math-ph, math.MP, and quant-ph | (1910.05957v2)

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.

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