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Electronic Structures of Quantum Dots and the Ultimate Resolution of Integers

C. G. Bao·Y. Z. He·G. M. Huang
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Abstract

The 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.

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C. G. Bao, Y. Z. He, G. M. Huang. 2001-04-08. Electronic Structures of Quantum Dots and the Ultimate Resolution of Integers. https://arxiv.org/abs/cond-mat/0104133

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