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TMF, 1991, Volume 88, Number 3, Pages 340–357 (Mi tmf5824)  

This article is cited in 1 scientific paper (total in 1 paper)

Quantum effects associated with parametric generation of light and the theory of squeezed states

A. A. Lobashov, V. M. Mostepanenko


Abstract: The theory of quantum effects in nonstationary nonlinear media is used to describe the parametric generation of the quantized electromagnetic field. Perturbation theory in the small parameter that characterizes the nonlinearity of the medium is used to construct a system of solutions of an integrodifferential equation that follows from Maxwell's equations. The coefficients of the Bogolyubov transformations that diagonalize the Hamiltonian of the quantized field are calculated and used to obtain the number of photons produced by the medium and the degree of squeezing. The region of applicability of the method of effective Hamiltonians developed earlier for the same purposes is established.

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English version:
Theoretical and Mathematical Physics, 1991, 88:3, 913–925

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Received: 05.11.1990

Citation: A. A. Lobashov, V. M. Mostepanenko, “Quantum effects associated with parametric generation of light and the theory of squeezed states”, TMF, 88:3 (1991), 340–357; Theoret. and Math. Phys., 88:3 (1991), 913–925

Citation in format AMSBIB
\Bibitem{LobMos91}
\by A.~A.~Lobashov, V.~M.~Mostepanenko
\paper Quantum effects associated with parametric generation of light and the theory of squeezed states
\jour TMF
\yr 1991
\vol 88
\issue 3
\pages 340--357
\mathnet{http://mi.mathnet.ru/tmf5824}
\transl
\jour Theoret. and Math. Phys.
\yr 1991
\vol 88
\issue 3
\pages 913--925
\crossref{https://doi.org/10.1007/BF01027694}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1991HN85400003}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. 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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