  A quantum system of N Coulomb charges confined within a harmonic trap is
considered over a wide range of densities and temperatures. A recently
described construction of an equivalent classical system is applied in order to
exploit the rather complete classical description of harmonic confinement via
liquid state theory. Here, the effects of quantum mechanics on that
representation are described with attention focused on the origin and nature of
shell structure. The analysis extends from the classical strong Coulomb
coupling conditions of dusty plasmas to the opposite limit of low temperatures
and large densities characteristic of "warm, dense matter".
