[en] Full text: Recent advances in nanotechnology have allowed us to fabricate nanoscale tiny objects on semiconductor surfaces in which a small number of electrons are confined in a quasi-zero-dimensional potential. These systems have been known as semiconductor quantum dots or artificial atoms, since their electronic properties can be controlled artificially by changing the confinement strength etc. In such finite few-body systems the correlation contribution to the total energy can differ significantly such as from 1 percent, similar to the case of the ground state of the Helium atom, to as large as more than 20 percent depending on the size of their size and shape. Therefore, their wave functions particularly in the highly correlated regime are many-body in nature. In order for these systems to be used for practical applications such as in quantum computation, single-photon detectors, etc., their nature of the correlated wave functions need to be clarified. In the present study we have focused on the two-dimensional circular-symmetric quantum dots and studied the angular correlation of the confined electrons relying on the full configuration interaction wave functions supplemented by high angular momentum basis functions. The two-electron angle density distributions have been calculated for different spin states of the low-lying singly-excited states. The results show strong angular dependences not only in the correlated regime but also in the uncorrelated regime where the correlation energy is negligibly small. The origin of these strong angular dependences will be discussed on the basis of the probability density distributions in the internal space. (author)