Spectrum and scattering in a “spin-boson” model with not more than three photons
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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.
- H. Spohn,Commun. Math. Phys.,123, 277 (1989).
- M. Hübner and H. Spohn, “Spectral properties of the spin-boson Hamiltonian,” Preprint, Ludwig-Maximilians-Universität, München (1994).
- M. Hübner and H. Spohn, “Atom coupled to photon: a new type ofN-body Schrödinger problem,” Preprint, Ludwig-Maximilians-Universität, München (1994).
- R. Minlos and H. Spohn, “The two-body problem in radiative decay: the case of one atom and at most two photons,”Advances in Soviet Mathematics (eds. R. Dobrushin, A. Vershik, and M. Shubin), published by American Mathematical Society.
- D. R. Yafaev,Teor. Mat. Fiz.,37, 48 (1978).
- M. V. Fedoryuk,Asymptotics, Integrals, and Series [in Russian], Nauka, Moscow (1987).
- M. Reed and B. Simon,Methods of Modern Mathematical Physics, Vol. 3, Academic Press, New York (1979).
- Spectrum and scattering in a “spin-boson” model with not more than three photons
Theoretical and Mathematical Physics
Volume 103, Issue 1 , pp 398-411
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