Geodesic
Spectrum and scattering in a model “spin-boson” with at most three photons
Teoretičeskaâ i matematičeskaâ fizika, Tome 103 (1995) no. 1, pp. 63-81 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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Yu. V. Zhukov; R. A. Minlos. Spectrum and scattering in a model “spin-boson” with at most three photons. Teoretičeskaâ i matematičeskaâ fizika, Tome 103 (1995) no. 1, pp. 63-81. http://geodesic.mathdoc.fr/item/TMF_1995_103_1_a5/

[1] Spohn H., Commun. Math. Phys., 123 (1989), 277–304 | DOI | MR | Zbl

[2] Hübner M., Spohn H., Spectral properties of the spin-boson Hamiltonian, Preprint, Ludwig-Maximilians-Universität, München, 1994 | MR

[3] Hübner M., Spohn H., Atom coupled to photon: a new type of N-body Schrödinger problem, Preprint, Ludwig-Maximilians-Universität, München, 1994 | MR

[4] Minlos R., Spohn H., The twice-body problem in radiative decay:the case of one atom and at most two photons, Advances in Soviet Mathematics, eds. R. Dobrushin, A. Vershik, M. Shubin (to appear)

[5] Yafaev D. R., TMF, 37:1 (1978), 48–57 | MR

[6] Fedoryuk M. V., Asimptotika, integraly i ryady, Nauka, M., 1987 | MR

[7] Rid M., Saimon B., Metody sovremennoi matematicheskoi fiziki. T. 3. Teoriya rasseyaniya, Mir, M., 1982 | MR