A review of weak localization theory is presented in application to el
ectron transport in semiconductors. While the theory qualitatively wor
ks well going into more microscopic level reveals difficulties. The im
portant questions concern relaxing contact potential assumption by usi
ng weekly screened potential, effect of impurity correlations, and tak
ing into account spatial distribution of impurities and wave function
modulation. The origin of weak-antilocalization in strictly two-dimens
ional semiconductor systems is analyzed. There are two possible source
s of this phenomenon: (1) crystalline: inversion asymmetry term and in
terface or Rashba term, and (2) resulting from the presence of many su
bbands. The first mechanism does not seem to agree with experimentally
extracted dispersion relations for quasi two-dimensional systems. The
second mechanism cannot explain a secondary maximum for magnetoresist
ance observed in some systems. In addition to need to study interactio
n effect, further progress can be achieved by using semiclassical theo
ry with the correlated noise.