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Teoreticheskaya i Matematicheskaya Fizika, 1998, Volume 117, Number 1, Pages 92–106
DOI: https://doi.org/10.4213/tmf919 (Mi tmf919) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Cauchy problem and averaging in Fock space

A. Ya. Kazakov

Saint-Petersburg State University of Aerospace Instrumentation
Full-text PDF (245 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf919
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.
Received: 18.03.1998
English version:
Theoretical and Mathematical Physics, 1998, Volume 117, Issue 1, Pages 1182–1193
DOI: https://doi.org/10.1007/BF02557159
Bibliographic databases:
Language: Russian
Citation: A. Ya. Kazakov, “Cauchy problem and averaging in Fock space”, TMF, 117:1 (1998), 92–106; Theoret. and Math. Phys., 117:1 (1998), 1182–1193
Citation in format AMSBIB
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\paper Cauchy problem and averaging in Fock space
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\jour Theoret. and Math. Phys.
\yr 1998
\vol 117
\issue 1
\pages 1182--1193
\crossref{https://doi.org/10.1007/BF02557159}
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  • https://www.mathnet.ru/eng/tmf/v117/i1/p92
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
     
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