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The possibility to describe the evolution of an electromagnetic field by means of the photon distribution function in the phase space (r, q-space) is studied. This function defined by analogy with the coarse-grained Mandel operator of photon density in the configuration space is used to characterize...

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Bibliographic Details
Date:2012
Main Authors: Chumak, O., Sushkova, N.
Format: Article
Language:English
Published: Publishing house "Academperiodika" 2012
Subjects:
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Online Access:https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2021360
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Journal Title:Ukrainian Journal of Physics

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Ukrainian Journal of Physics
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Summary:The possibility to describe the evolution of an electromagnetic field by means of the photon distribution function in the phase space (r, q-space) is studied. This function defined by analogy with the coarse-grained Mandel operator of photon density in the configuration space is used to characterize the local density of photons with a given momentum. Approximate eigenfunctions and eigenvalues of the distribution function, corresponding to one-photon localized states of the electromagnetic field, are obtained. It is shown that the photon transport is governed by the Newton mechanics if the "external force" acting on photons is a slowly varying function of spatial variables. It is shown that the distribution function at any time can be expressed via the initialdistribution and photon's trajectories.