We examine the static, dynamic, and low-temperature thermodynamic propertie
s of liquid He-4 and the low-concentration limit of He-3-He-4 mixtures conf
ined between two walls. A generalized variational JastrowFeenberg ansatz wi
th time-dependent correlations is used for describing the excited states; t
he present variant accounts for up to three-phonon effects. We show that wi
th decreasing wall separation the quantum liquid goes though a sequence of
confined layering transitions familiar from classical fluids. These transit
ions are due to the geometry and have potentially observable effects in the
roton excitations near wave vector k similar to 2 Angstrom (-1). in high-d
ensity liquid He-4, He-3 impurities assemble in the middle of the gap formi
ng a nearly perfect two-dimensional Fermi-liquid layer.