Atomic density of an harmonically trapped ideal gas near Bose-Einstein transition temperature
Résumé
We investigate the atomic density of a cloud confined in an isotropic harmonic trap at the vicinity of Bose-Einstein transition temperature. We show that, for an ideal gas and near this temperature, the ground-state density cannot be neglected, even at the thermodynamic limit. In particular, at the transition temperature, the value of $\rho(0)\lambda^3$ with $\rho(0)$ the total peak density and $\lambda$ the thermal de Broglie wavelength, is more than two times the famous $\zeta(3/2)\approx 2.612$. We compare the exact calculations, available in an harmonic trap, to semi-classical approximations.
Domaines
Physique Quantique [quant-ph]
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