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

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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. 
@article{TMF_1995_103_1_a5,
     author = {Yu. V. Zhukov and R. A. Minlos},
     title = {Spectrum and scattering in a~model ``spin-boson'' with at most three photons},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {63--81},
     publisher = {mathdoc},
     volume = {103},
     number = {1},
     year = {1995},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1995_103_1_a5/}
}
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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/