  We report on calculations of smoothed spectral correlations in the
two-dimensional Anderson model for weak disorder. As pointed out in (M.
Wilkinson, J. Phys. A: Math. Gen. 21, 1173 (1988)), an analysis of the
smoothing dependence of the correlation functions provides a sensitive means of
establishing consistency with random matrix theory. We use a semiclassical
approach to describe these fluctuations and offer a detailed comparison between
numerical and analytical calculations for an exhaustive set of two-point
correlation functions. We consider parametric correlation functions with an
external Aharonov-Bohm flux as a parameter and discuss two cases, namely broken
time-reversal invariance and partial breaking of time-reversal invariance.
Three types of correlation functions are considered: density-of-states,
velocity and matrix element correlation functions. For the values of smoothing
parameter close to the mean level spacing the semiclassical expressions and the
numerical results agree quite well in the whole range of the magnetic flux.
