Theoretical and Mathematical Physics

, Volume 103, Issue 1, pp 398–411

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

Authors

  • Yu. V. Zhukov
    • State University
    • Institute of Problems of Information Transmission of the Russian Academy of Sciences
  • R. A. Minlos
    • State University
    • Institute of Problems of Information Transmission of the Russian Academy of Sciences
Article

DOI: 10.1007/BF02069784

Cite this article as:
Zhukov, Y.V. & Minlos, R.A. Theor Math Phys (1995) 103: 398. doi:10.1007/BF02069784

Abstract

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.

Copyright information

© Plenum Publishing Corporation 1995