Theoretical and Mathematical Physics

, Volume 103, Issue 1, pp 398–411 | Cite as

Spectrum and scattering in a “spin-boson” model with not more than three photons

  • Yu. V. Zhukov
  • R. A. Minlos


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.


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Copyright information

© Plenum Publishing Corporation 1995

Authors and Affiliations

  • Yu. V. Zhukov
    • 1
    • 2
  • R. A. Minlos
    • 1
    • 2
  1. 1.State UniversityMoscow
  2. 2.Institute of Problems of Information Transmission of the Russian Academy of SciencesUSSR

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