  The magnetization of quantum dots is discussed in terms of a relatively
simple but exactly solvable model Hamiltonian. The model predicts oscillations
in spin polarization as a function of dot radius for a fixed electron density.
These oscillations in magnetization are shown to yield distinct signature in
the momentum density of the electron gas, suggesting the usefulness of momentum
resolved spectroscopies for investigating the magnetization of dot systems. We
also present variational quantum Monte Carlo calculations on a square dot
containing 12 electrons in order to gain insight into correlation effects on
the interactions between like and unlike spins in a quantum dot.
