Interacting electrons in a magnetic field in a center-of-mass free basis
arXiv:1410.4768 · doi:10.1088/0031-8949/90/7/074014
Abstract
We present an extension of the spin-adapted configuration-interaction method for the computation of four electrons in a quasi two-dimensional quantum dot. By a group-theoretical decomposition of the basis set and working with relative and center-of-mass coordinates we obtain an analytical identification of all spurious center-of-mass states of the Coulomb-interacting electrons. We find a substantial reduction in the basis set used for numerical computations. At the same time we increase the accuracy compared to the standard spin-adapted configuration-interaction method (SACI) due to the absence of distortions caused by an unbalanced cut-off of center-of-mass excitations.
arXiv comment32 pages, 2 figures, updated list of references, extended introduction
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