F. Dalfovo et al., STRUCTURAL AND DYNAMICAL PROPERTIES OF SUPERFLUID-HELIUM - A DENSITY-FUNCTIONAL APPROACH, Physical review. B, Condensed matter, 52(2), 1995, pp. 1193-1209
We present a density functional for liquid He-4, properly accounting f
or the static response function and the phonon-roton dispersion in the
uniform liquid. The functional is used to study both structural and d
ynamical properties of superfluid helium in various geometries. The eq
uilibrium properties of the free surface, droplets, and films at zero
temperature are calculated. Our predictions agree closely with the res
ults of ab initio Monte Carlo calculations, when available. The introd
uction of a phenomenological velocity-dependent interaction, which acc
ounts for backflow effects, is discussed. The spectrum of the elementa
ry excitations of the free surface and films is studied.