Electronic Structures of Quantum Dots and the Ultimate Resolution of Integers

dc.creatorBao, C. G.
dc.creatorHe, Y. Z.
dc.creatorHuang, G. M.
dc.date2001-04-08
dc.date.accessioned2026-07-07T02:40:58Z
dc.date.available2026-07-07T02:40:58Z
dc.descriptionThe orbital angular momentum L as an integer can be ultimately factorized as a product of prime numbers. We show here a close relation between the resolution of L and the classification of quantum states of an N-electron 2-dimensional system. In this scheme, the states are in essence classified into different types according to the m(k)-accessibility, namely the ability to get access to symmetric geometric configurations. The m(k)-accessibility is an universal concept underlying all kinds of 2-dimensional systems with a center. Numerical calculations have been performed to reveal the electronic structures of the states of the dots with 9 and 19 electrons,respectively. This paper supports the Laughlin wave finction and the composite fermion model from the aspect of symmetry.
dc.descriptionTwo figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0104133
dc.identifierhttp://arxiv.org/abs/cond-mat/0104133
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/17572
dc.subjectMesoscale and Nanoscale Physics
dc.titleElectronic Structures of Quantum Dots and the Ultimate Resolution of Integers
dc.typetext

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