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arxiv: cond-mat/0004208 · v1 · submitted 2000-04-13 · ❄️ cond-mat.stat-mech

Comment on: rotational properties of trapped bosons

classification ❄️ cond-mat.stat-mech
keywords bosonsparabolicwellinertiamomenttemperatureapplicationaverage
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Based on the Hellman-Feynman theorem it is shown that the average square radius of a cloud of interacting bosons in a parabolic well can be derived from their free energy. As an application, the temperature dependence of the moment of inertia of non-interacting bosons in a parabolic trap is determined as a function of the number of bosons. Well below the critical condensation temperature, the Bose-Einstein statistics are found to substantially reduce the moment of inertia of this system, as compared to a gas of ``distinguishable'' particles in a parabolic well.

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