We present results of a full configuration interaction (FCI) calculation fo
r a strain-induced quantum dot. FCI is a numerically exact diagonalization
method for finite many-particle systems. We solve the Schrodinger equation
for low laying energy levels for systems consisting of up to four electron-
hole pairs. Controlled approximations are made for larger systems. The resu
lts allow us to study the reliability of the free particle and Hartree-Fock
approximations. We find that correlations must be necessarily included in
order to obtain reliable results. The energy structure obtained is consiste
nt with photoluminescence measurements on strain-induced quantum dots induc
ed by InP islands on a GaAs-InGaAs quantum well.