@article{Chumak_Sushkova_2012, title={Operator of Photon Density in the Phase Space}, volume={57}, url={https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2021360}, DOI={10.15407/ujpe57.1.30}, abstractNote={<p>The possibility to describe the evolution of an electromagnetic field by means of the photon distribution function in the phase space (<strong>r</strong>, <strong>q</strong>-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 initial<br>distribution and photonâ€™s trajectories.</p>}, number={1}, journal={Ukrainian Journal of Physics}, author={Chumak, O. and Sushkova, N.}, year={2012}, month={Jan.}, pages={30} }