TY - JOUR
AU - Chumak, O.
AU - Sushkova, N.
PY - 2012/01/30
Y2 - 2023/02/07
TI - Operator of Photon Density in the Phase Space
JF - Ukrainian Journal of Physics
JA - Ukr. J. Phys.
VL - 57
IS - 1
SE - Optics, lasers, and quantum electronics
DO - 10.15407/ujpe57.1.30
UR - https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2021360
SP - 30
AB - <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 photon's trajectories.</p>
ER -