The characterization of nanostructures is a topic of vital interest, s
ince the dimensions of commercially available semiconductor devices ar
e now in a range, where quantum size effects become evident. In this p
aper, various methods are presented to characterize low-dimensional st
ructures. Magnetic depopulation, tunneling, far infrared transmission,
photo-conductivity and magnetophonon resonances are used to determine
the low-dimensional subband energies. For each method, the special fe
atures are discussed and it is demonstrated that the different methods
yield different, complementary information.