Exact solution of the Jaynes–Cummings model for atom moving through the non-ideal cavity
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 148 (2006) no. 1, pp. 116-123

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Exact solution for generalized Jaynes–Cummings model including $r$-quant transitions, non-ideal cavity and moving of the atom for arbitrary initial state of the system is obtained. Dependents from time for some observable using expression for density matrix are calculated.
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     title = {Exact solution of the {Jaynes{\textendash}Cummings} model for atom moving through the non-ideal cavity},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
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A. V. Gorokhov; I. E. Sinaiskii. Exact solution of the Jaynes–Cummings model for atom moving through the non-ideal cavity. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 148 (2006) no. 1, pp. 116-123. http://geodesic.mathdoc.fr/item/UZKU_2006_148_1_a13/