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Simultaneously Finite Size And Interaction Effects On A Harmonically Trapped ^{87}Rb Gas, Ahmed Sayed Hassan, Hassab Eldyeam Hadi
Simultaneously Finite Size And Interaction Effects On A Harmonically Trapped ^{87}Rb Gas, Ahmed Sayed Hassan, Hassab Eldyeam Hadi
Turkish Journal of Physics
In the framework of the semiclassical approximation (K_B T >> \hbar\Omega), an accurate ansatz formula for the density of states is suggested. This formula is able to include the finite size, interatomic interaction effects, and the role of dimensionality simultaneously. Condensed fraction, and average energy per particle for a condensed ^{87}Rb gas in anisotropic trap in 3D and 2D are calculated. The results for the above mentioned thermodynamic quantities show good agreement with the measured experimental results. Furthermore, full agreement is obtained with the other method used to calculate the same quantities.