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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description	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.
doi_str_mv	10.1007/BF02069784
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subjects	ATOMIC MODELS ATOMS HAMILTONIANS HILBERT SPACE MATHEMATICS, COMPUTERS, INFORMATION SCIENCE, MANAGEMENT, LAW, MISCELLANEOUS PHYSICS RADIATIVE DECAY SCATTERING SPIN
title	Spectrum and scattering in a “spin-boson” model with not more than three photons
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