Quantum wells can now be grown by molecular beam epitaxy in the Ga1-xA
lxAs system with almost any desired electron confinement potential V(z
) in the growth or z direction. The wells can be filled by remote dopi
ng, giving finely controllable high-mobility electron gases with a dim
ensionality between two and three. Grating coupler techniques permit o
bservation at finite surface wavenumber of the infrared plasmon modes
of these structures. This provides in principle a window onto fundamen
tal and applicable many-electron physics. Of special interest are the
'pseudo-jellium' properties of parabolic and parabolic-linear wells, w
hich are discussed in detail here. A theorem applicable to more genera
l wells is also introduced.