Abstract
The thermodynamic properties of a system consisting of a small number of non-interacting indistinguishable particles in the temperature range where the transition from quantum to classical behaviour occurs are discussed. The system is an extrapolation of a perfect monatomic boson gas contained in a box. We calculate the internal energy, specific heat and entropy and discuss their dependence on various factors such as the temperature, the number of particles and the box dimensionality. The results are compared with those obtained for a system consisting of distinguishable particles. The calculations are carried out without approximation starting from first principles, and the results have general validity since reduced units are used.
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