Abstract

The exact numerical diagonalization of the Hamiltonian of a 2D circular quantum dot is performed for 2, 3, and 4 electrons. The results are compared with those of the perturbation theory. Our numerical results agree reasonably well for small values of the dimensionless coupling constant λ= a/ a B where a is the dot radius and a B is the effective Bohr radius. Exact diagonalization results are compared with the classical predictions, and they are found to be almost coincident for large λ values.

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