  In this paper we investigate the local and global spectral properties of the
triaxial rigid rotator. We demonstrate that, for a fixed value of the total
angular momentum, the energy spectrum can be divided into two sets of energy
levels, whose classical analog are librational and rotational motions. By using
diagonalization, semiclassical and algebric methods, we show that the energy
levels follow the anomalous spectral statistics of the one-dimensional harmonic
oscillator.
