Thermodynamic properties of rotating quantum systems are calculated. A
change in the low energy density of states is induced by rotation and
the boundary conditions. This implies a change in the characteristics
of the Bose-Einstein condensation (higher TEE, and different exponent
s). The density of states diverges near resonances of rotation with ot
her frequencies of the system such as the cyclotron frequency in the p
resence of a magnetic field. Some relevant experimental scenarios are
discussed.