We review some of the characteristic features of the coherent multiple scattering of scalar electromagnetic waves in random media. The probability of quantum diffusion is defined and calculated up to the contribution of the cooperon. We show that there are additional corrections at the order of the cooperou which restore the normalization of the probability. We study also the angular and temporal (diffusive wave spectroscopy) correlation functions of speckle patterns. More particularly, we obtain a dosed expression of the contribution to the time correlation function which is equivalent to the universal conductance fluctuations. Finally, the notion of dephasing is discussed and implemented for the case of the dephasing induced by the internal Zeeman degrees of freedom of cold atomic gases.
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