Based on the form of the n-dimensional generic power-law potential, the state equation and the heat capacity,the analytical expressions of the Joule-Thomson coefficient (JTC) for an ideal Bose gas are derived in n-dimensionalpotential. The effect of the spatial dimension and the external potential on the JfC axe discussed, respectively. Theseresults show that: (ⅰ) For the free ideal Bose gas, when n/s ≤ 2 (n is the spatial dimension, s is the momentum indexin the relation between the energy and the momentum), and T →T_C (T_C is the critical temperature), the JTC canobviously improve by means of changing the throttle valve's shape and decreasing the spatial dimension of gases. (ⅱ)For the inhomogeneous external potential, the discriminant △= [1-∏_(i=1)~n (kT/ε_i)^(1/t_i) Γ(1/ti +1)] (κ is the BoltzmannConstant, T is the thermodynamic temperature, ε is the external field's energy), is obtained. The potential makes theJTC increase when △> 0, on the contrary, it makes the JTC decrease when △<0. (ⅲ) In the homogenous strongexternal potential, the JTC gets the maximum on the condition of κT/ε_i<<1.
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