  Oscillating behaviour of the susceptibility and heat capacity is considered
for normal and superconducting mesoscopic systems (nanoclusters and quantum
dots). It is proved that at low temperature an increasing magnetic field
applied to a mesoscopic system generates local extrema of the susceptibility
and heat capacity. A maximum for the susceptibility and a minimum for heat
capacity simultaneously arise in those points of the field where crossings of
quantum levels of the normal and superconducting mesoscopic systems take place.
