Spectral properties of the singular Friedrichs-Lee Hamiltonian

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.

arXiv comment42 pages, 1 figure

References in corpus (4)

• The Friedrichs Model and its use in resonance phenomena
• Quantum Zeno effect and dynamics
• Self-Adjoint Extensions by Additive Perturbations
• Relativistic Lee Model on Riemannian Manifolds

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