Abstract
The momentum distribution $n(k)$ and condensate fraction $\frac{{N}_{0}}{N}$ for liquid helium and for a charged Bose gas are evaluated in perturbation theory through second order in $\frac{1}{\sqrt{N}}$. For liquid helium at normal vapor pressure, to this order in perturbation theory, we obtain unphysical, negative values for $n(k)$. This result will be discussed in detail.
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