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Cauchy problem and averaging in Fock space

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Abstract

We investigate a Cauchy problem in the Fock space for a system consisting of a two-level atom, a quantum field, and a classical field. A solution estimate is obtained for the Cauchy problem with initial data from a special class. This class is invariant with respect to the dynamic semigroup of the system. We propose an averaging method for solving the Cauchy problem in the case where the Hamiltonian parameters differ greatly in the order of magnitude. An estimate of the averaging error is obtained.

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References

  1. S. G. Krein,Linear Differential Equations in Banach Space [in Russian], Nauka, Moscow (1971); English transl., Am. Math. Soc., New York (1972).

    Google Scholar 

  2. C. K. Law and J. H. Eberly,Phys. Rev. A,43, 6337 (1991).

    Article  ADS  Google Scholar 

  3. P. Alsing, D.-S. Guo and H. J. Carmichael,Phys. Rev. A,45, 5135 (1992).

    Article  ADS  Google Scholar 

  4. I. V. Jyotsna and G. S. Agarwal,Opt. Commun.,99, 344 (1993).

    Article  ADS  Google Scholar 

  5. A. H. Nayfeh,Introduction to Perturbation Techniques, Wiley, New York (1981).

    MATH  Google Scholar 

  6. A. M. Perelomov,Generalized Coherent States and Their Applications Springer, Berlin (1986).

    MATH  Google Scholar 

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Authors and Affiliations

  1. St. Petersburg State University of Aerospace Instrumentation, Russia

    A. Ya. Kazakov

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  1. A. Ya. Kazakov
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 117, No. 1, pp. 92–106, October, 1998.

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Kazakov, A.Y. Cauchy problem and averaging in Fock space. Theor Math Phys 117, 1182–1193 (1998). https://doi.org/10.1007/BF02557159

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  • DOI: https://doi.org/10.1007/BF02557159

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