ROTATIONAL PROPERTIES OF TRAPPED BOSONS

Based on the Hellman-Feynman theorem, it is shown that the average squ are radius of a cloud of interacting bosons in a parabolic well can be derived from their free energy. As an application, the temperature de pendence of the moment of inertia of noninteracting bosons in a parabo lic trap is determined as a function of the number of bosons. Well bel ow the critical condensation temperature, the Bose-Einstein statistics are found to substantially reduce the moment of inertia of this syste m, as compared to a gas of ''distinguishable'' particles in a paraboli c well.