{
  "id": "cond-mat/0104133",
  "version": "v1",
  "published": "2001-04-08T13:18:17.000Z",
  "updated": "2001-04-08T13:18:17.000Z",
  "title": "Electronic Structures of Quantum Dots and the Ultimate Resolution of Integers",
  "authors": [
    "C. G. Bao",
    "Y. Z. He",
    "G. M. Huang"
  ],
  "comment": "Two figures",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-04-08T13:18:17.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "electronic structures",
      "quantum dots",
      "ultimate resolution",
      "composite fermion model",
      "symmetric geometric configurations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001cond.mat..4133B"
    }
  }
}