  The density matrix of a two-anyon system is evaluated and used to investigate
the "statistical interparticle potential" following the theory of Uhlenbeck.
The main purpose is to see how the statistical potential will depend on the
fractional statistical parameter $\alpha$. The result shows that the
statistical potential for a two-anyon system with $\alpha\ge {1\over2}$ is
always repulsive. For the system with $0<\alpha< {1\over2}$, the potential is
repulsive at short distances and becomes attractive at long distances. It
remains only in the boson system ($\alpha=0$) that the repulsive potential
arising from the exclusion principle can disappear and lead to an attractive
potential at all distances.
