Abstract
A theoretical study of two-particle systems in quasi-one-dimensional quantum wires and quantum dots is presented. We have derived the analytical formula for the effective interaction potential between the charge carriers confined laterally by a strong parabolic potential and applied this formula to electron pairs in single and double quantum dots and to excitons in quantum wires. In the single quantum dot of the sufficiently large size, we have found the Wigner-type localization.
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