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TMF, 1991, Volume 86, Number 3, Pages 438–447 (Mi tmf5460)  

This article is cited in 2 scientific papers (total in 2 papers)

Quantum effects in nonlinear insulating materials in the presence of a nonstationary electromagnetic field

A. A. Lobashev, V. M. Mostepanenko


Abstract: A theory of quantum effects is constructed for nonlinear media whose dielectric properties depend on the time under the influence of a nonstationary pumping field. An integrodifferential equation is obtained for the vector potential of the field, and a scalar product is defined in the space of its solutions. The Hamiltonian of the radiation field is diagonalized by Bogolyubov canonical transformations, and quantities such as the number of photons produced by the medium and the degree of squeezing when squeezed states are generated are expressed in terms of the coefficients of these transformations.

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English version:
Theoretical and Mathematical Physics, 1991, 86:3, 303–309

Received: 17.04.1990

Citation: A. A. Lobashev, V. M. Mostepanenko, “Quantum effects in nonlinear insulating materials in the presence of a nonstationary electromagnetic field”, TMF, 86:3 (1991), 438–447; Theoret. and Math. Phys., 86:3 (1991), 303–309

Citation in format AMSBIB
\Bibitem{LobMos91}
\by A.~A.~Lobashev, V.~M.~Mostepanenko
\paper Quantum effects in nonlinear insulating materials in the presence of a~nonstationary electromagnetic field
\jour TMF
\yr 1991
\vol 86
\issue 3
\pages 438--447
\mathnet{http://mi.mathnet.ru/tmf5460}
\transl
\jour Theoret. and Math. Phys.
\yr 1991
\vol 86
\issue 3
\pages 303--309
\crossref{https://doi.org/10.1007/BF01028429}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. A. A. Lobashov, V. M. Mostepanenko, “Quantum effects associated with parametric generation of light and the theory of squeezed states”, Theoret. and Math. Phys., 88:3 (1991), 913–925  mathnet  crossref  isi
    2. A. A. Lobashev, V. M. Mostepanenko, “Heisenberg representation of second-quantized fields in stationary external fields and nonlinear dielectric media”, Theoret. and Math. Phys., 97:3 (1993), 1393–1404  mathnet  crossref  mathscinet  zmath  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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