  We investigate the thermodynamic properties of a trappoed Bose gas of Rb
atoms interacting through a repulsive potential by Quantum Monte Carlo method
based upon the generalization of Feynman-Kac method[1] applicable to many body
systems at T=0 to finite temperatures. In this letter,we report the temperature
variation of condensation fraction, chemical potential,density profile, total
energy of the system, release energy, frequency shifts and moment of inertia
within the realistic potential (Morse type) for the first time by diffusion
Monte Carlo technique. The most remarkable success was in achieving the same
trend in the temperature variation of frequency shifts as was observed in
JILA[2] for m=2 and m=0 modes . For other things we agree with the work of
Giorgini et al[3] Pitaevskii et al[4] and Krauth[5]
