Abstract
The frequency shift of spectral lines is most often explained by the Doppler effect in terms of relative motion, whereas the Doppler broadening of a particular line mainly depends on the absolute temperature. The Wolf effect, on the other hand, deals with the correlation-induced spectral change and explains both the broadening and shift of the spectral lines. In this framework a relation between the width of the spectral line is related to the redshift z for the line and hence with the distance. For smaller values of z a relation similar to the Tully-Fisher relation can be obtained and for larger values of z a more general relation can be constructed. The derivation of this kind of relation based on dynamic multiple-scattering theory may play a significant role in explaining the overall spectra of quasistellar objects. We emphasize that this mechanism is not applicable for nearby galaxies, $z<~1$.
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