Precise analysis of the three-anyon spectrum

We find the exact numbers of ''good'' (found analytically) and ''bad'' states in three-anyon problem. It is shown that the relative number of the ''good'' states tends to one third with energy increasing. We produce an outline of the spectrum which reflects correctly the interpolation between bosonic and fermionic states. We carry out a straightforward calculation of the partition function, which reproduces the known results for the third virial coefficient. 22 refs.; 2 figs.; 7 tab. (author)