NMR techniques are used for the study of two-dimensional quantum syste
ms, represented by He-3 physically adsorbed on Grafoil, an exfoliated
form of graphite. A description of our high sensitivity and very low p
ower continuous wave spectrometer yielding very good signal to noise r
atios at millikelvin temperatures is given. The evolution of line shap
es and relaxation times with areal density is discussed. Some results
of NMR measurements on He-3 films adsorbed on Grafoil are presented in
the last section: influence of substrate heterogeneities, Fermi liqui
d properties, study of phase transitions in two dimensions and magneti
sm in solid phases.