Interaction of a beam of electrons with an excited gaseous medium is formulated and a few examples are presented. In the framework of the model, the dielectric properties of the gaseous medium are represented by a finite set of resonances corresponding to spectral lines of the gas constituents. Both passive and active states are considered. It is assumed that one of the energy states is inverted. Longitudinal and transverse forces acting on the beam are evaluated analytically and Panofsky-Wenzel theorem for an active medium is derived. Numerical simulations are presented.
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