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

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

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...

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Veröffentlicht in:Theoretical and Mathematical Physics 1995-04, Vol.103 (1), p.398-411
Hauptverfasser: Zhukov, Yu. V., Minlos, R. A.
Format: Artikel
Sprache:eng
Schlagworte:
ATOMIC MODELS
ATOMS
HAMILTONIANS
HILBERT SPACE
MATHEMATICS, COMPUTERS, INFORMATION SCIENCE, MANAGEMENT, LAW, MISCELLANEOUS
PHYSICS
RADIATIVE DECAY
SCATTERING
SPIN
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Zusammenfassung: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.
ISSN:0040-5779
1573-9333
DOI:10.1007/BF02069784