We apply the statistical measures of Wigner, Dyson and Mehta to quantu
m-mechanical systems having intrinsic disorder. We observe a transitio
n from regular Poisson-like to Wigner-like eigenvalue statistics, and
relate these two limiting behaviours to the ballistic and mesoscopic r
egimes of quantum transport. In strongly disordered systems we observe
that the eigenvalue spectra have a more complex structure, whose natu
re seems to provide a useful indicator of transport behaviour. We also
observe similar effects in the spectra of quantum-mechanical systems
whose classical analogues exhibit chaotic behaviour, and we can theref
ore provide a semi-quantitative description of the non-universal condu
ctance fluctuations recently observed by Marcus and co-workers in ball
istic microstructures.