  We consider the recovery of some statistical quantities by using the
near-field or far-field data in quantum scattering generated under a single
realization of the randomness. We survey the recent main progress in the
literature and point out the similarity among the existing results. The
methodologies in the reformulation of the forward problems are also
investigated. We consider two separate cases of using the near-field and
far-field data, and discuss the key ideas of obtaining some crucial asymptotic
estimates. We pay special attention on the use of the theory of
pseudodifferential operators and microlocal analysis needed in the proofs.
