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

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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.

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Authors and Affiliations

  1. State University, Moscow

    Yu. V. Zhukov & R. A. Minlos

  2. Institute of Problems of Information Transmission of the Russian Academy of Sciences, USSR

    Yu. V. Zhukov & R. A. Minlos

Authors
  1. Yu. V. Zhukov
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  2. R. A. Minlos
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Additional information

Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 103, No. 1, pp. 63–81, April, 1995.

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Zhukov, Y.V., Minlos, R.A. Spectrum and scattering in a “spin-boson” model with not more than three photons. Theor Math Phys 103, 398–411 (1995). https://doi.org/10.1007/BF02069784

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  • DOI: https://doi.org/10.1007/BF02069784

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