Studies of the ground and excited states in semiconductor quantum dots
containing 1 to 12 electrons showed that the quantum numbers of the s
tates in the excitation spectra can be identified and compared with ex
act calculations. A magnetic field induces transitions between the gro
und and excited states. These transitions were analyzed in terms of cr
ossings between single-particle states, singlet-triplet transitions, s
pin polarization, and Hund's rule. These impurity-free quantum dots al
low ''atomic physics'' experiments to be performed in magnetic field r
egimes not accessible for atoms.