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We investigate the thermodynamics of a Bose gas interacting with repulsive forces and confined in a harmonic trap. We show that the relevant parameters of the system (temperature, number N of atoms, harmonic oscillator length, deformation of the trap, s-wave scattering length) fix its thermodynamic behavior in the large N limit through two dimensionless scaling parameters. These are the reduced temperature t0ex{0ex}=0ex{0ex}T/T₂^0 and the ratio between the T0ex{0ex}=0ex{0ex}0 value of the chemical potential, evaluated in the Thomas-Fermi limit, and the critical temperature T₂^0 of the noninteracting model. The scaling functions relative to the condensate fraction, energy, chemical potential, and moment of inertia are calculated within the Popov approximation.
Giorgini et al. (Mon,) studied this question.