Spectrum and scattering in a “spin-boson” model with not more than three photons
- Cite this article as:
- Zhukov, Y.V. & Minlos, R.A. Theor Math Phys (1995) 103: 398. doi:10.1007/BF02069784
A model of radiative decay with a fixed atom and not more than three photons is studied. A spectral analysis of the Hamiltonian is made. This is done by means of scattering theory in a pair of spaces with a specially chosen embedding. The existence of wave operators and their asymptotic completeness are proved. The constructions are based on a detailed analysis of the resolvent of the Hamiltonian.