Reduction of the wave packet of a relativistic charged particle by emission of a photon
Abstract
The problem of reduction of the wave packet of a relativistic charged particle by emission of a photon is studied with help of the path integral approach. A general expression for arbitrary order correlation function of the electromagnetic field is obtained. As a specific example an ultrarelativistic electron circulating in a storage ring is considered. It is shown that the longitudinal width of the electron wave packet defined by characteristic difference of time between registrations of two photons emitted by the electron is of the order of the wave length of the photons.
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