  We demonstrate that in semiconductor quantum dots wave functions probed by
imaging techniques based on local tunneling spectroscopies like STM show
characteristic signatures of electron-electron Coulomb correlation. We predict
that such images correspond to ``quasi-particle'' wave functions which cannot
be computed by standard mean-field techniques (density functional theory,
Hartree-Fock) in the strongly correlated regime corresponding to low electron
density. From the configuration-interaction solution of the few-particle
problem for prototype dots, we find that quasi-particle wave function images
may display signatures of Wigner crystallization.
