Interacting electrons in a 2D quantum dot
N. Akman, M. Tomak
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 dimensionles coupling constant λ=a aB where a is the dot radius and aB is the effective Bohr radius.Exact diagonalization results are compared with the classical predictions, and they are found to be almost coincident for large λvalues. PACS Numbers: 73.20.Dx, 73.61.-r
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