Geodesic
Integrable equations for the model with $N$ sources and $n-1$ modes
Teoretičeskaâ i matematičeskaâ fizika, Tome 164 (2010) no. 3, pp. 410-418 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider simplified models of coupling charged matter to radiation resonance modes generalizing the well-known Jaynes–Cummings and Dicke models. We find that these new models are integrable for arbitrary numbers of dipole sources and resonance modes of the radiation field. We discuss the problem of explicitly diagonalizing the corresponding Hamiltonians.
Keywords: quantum optics, radiation–matter coupling, integrability. 
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B. I. Sadovnikov; N. G. Inozemtseva; V. I. Inozemtsev. Integrable equations for the model with $N$ sources and $n-1$ modes. Teoretičeskaâ i matematičeskaâ fizika, Tome 164 (2010) no. 3, pp. 410-418. http://geodesic.mathdoc.fr/item/TMF_2010_164_3_a9/

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