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The authors present a method of obtaining exact isolated solutions for the class of quantum optical systems without the use of a rotating wave approximation. The method generalises the results known from the literature to the case of multilevel atomic systems. The analytical properties of the solutions in the Bargmann representation for the radiation field mode are discussed. The analogues of these solutions for atomic systems interacting with an external field are constructed.
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Kuś et al. (1986) studied this question.
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