  We use the operator product expansion to derive exact results for the
momentum distribution and the static structure factor at high momentum for a
jellium model of electrons in both two and three dimensions. It is shown that
independent of the precise state of the Coulomb system and for arbitrary
temperatures, the asymptotic behavior is a power law in the momentum, whose
strength is determined by the contact value of the pair distribution function
$g(0)$. The power-law tails are quantum effects which vanish in the classical
limit $\hbar \to 0$. A leading order virial expansion shows that the classical
and the high-temperature limit do not agree.
