FEATURE OF ENERGY-SPECTRA OF 3-IDENTICAL-PARTICLE SYSTEMS IN 2-DIMENSIONAL SPACE

The Hamiltonian of a model system has been diagonalized numerically to obtain the eigenstates and eigenenergies. Three types of permutation symmetries: the antisymmetric, the mixed symmetric and the symmetric s ymmetries have been covered. The dynamical parameters (i.e., the parti cle mass and the particle-particle interaction) are taken appropriatel y for cu particles, however a series of qualitative features are revea led to be identical with those of quantum dot electronic systems in se miconductor heterojunctions. We stress the importance of quantum mecha nical symmetries in the understanding of quantum mechanical few-body s ystems.