Abstract
Abstract Sum rules are derived which relate moments ∫ ωn(dN/dω d2[ncirc]n of the differential photon spectrum emitted by a classically moving point charge to the integral of the square of the apparent position, velocity or acceleration, as seen by the observer. Smoothing of the trajectory by means of a convolution with a function f(τ), where τ is the observer's time, results in a filtering of the spectrum by being the fourier transform of f(τ); this allows us to write filtered sum rules. Examples of applications of unfiltered and filtered sum rules to computer simulation of channeling radiation are presented.
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