Abstract
It is shown that the concept of Brownian motion and the path integral method based on it can be used to describe the emission of radiation by high-energy particles in matter. Within the scope of classical electrodynamics we have derived a new equation that describes the effect of multiple scattering on the differential spectrum and polarization characteristics of emission from a relativistic electron (positron) moving through a target of finite thickness. The results are of sufficient generality that we can obtain as limiting cases both the known equations for an amorphous medium and new equations for a crystal. We performed also a numerical analysis and compared angular distributions of radiation in oriented and non-oriented crystals of tungsten as an example.
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