Geodesic
Dressing method in matter\,$+$\,radiation quantum models
Teoretičeskaâ i matematičeskaâ fizika, Tome 152 (2007) no. 1, pp. 118-132

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We consider spectral problems related to Dicke and Jaynes–Cummings matter–radiation Hamiltonians and write the spectrum of a perturbed Dicke model (of a trapped ion interacting with the center-of-mass motion) in explicit form. We derive the dressing chain equations for non-Abelian elements and investigate them for two-state matter models. We discuss embedding of Jaynes–Tavis–Cummings models and nonrotating wave terms.
Mots-clés : Darboux transformation
Keywords: dressing chain equation, Jaynes–Cumming model, Dicke model, matrix shape invariant potential. 
@article{TMF_2007_152_1_a8,
     author = {S. B. Leble},
     title = {Dressing method in matter\,$+$\,radiation quantum models},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {118--132},
     publisher = {mathdoc},
     volume = {152},
     number = {1},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2007_152_1_a8/}
}
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S. B. Leble. Dressing method in matter\,$+$\,radiation quantum models. Teoretičeskaâ i matematičeskaâ fizika, Tome 152 (2007) no. 1, pp. 118-132. http://geodesic.mathdoc.fr/item/TMF_2007_152_1_a8/