  We study correlations of the amplitudes of wave functions of a chaotic system
at large distances. For this purpose, a joint distribution function of the
amplitudes at two distant points in a sample is calculated analytically using
the supersymmetry technique. The result shows that, although in the limit of
the orthogonal and unitary symmetry classes the correlations vanish, they are
finite through the entire crossover regime and may be reduced only by
localization effects.
