{
  "id": "2102.08879",
  "version": "v1",
  "published": "2021-02-17T17:18:18.000Z",
  "updated": "2021-02-17T17:18:18.000Z",
  "title": "Topological Pauli Phase and Fractional Quantization of Orbital Angular Momentum in the Problems of Classical and Quantum Physics",
  "authors": [
    "K. S. Krylov",
    "V. M. Kuleshov",
    "Yu. E. Lozovik",
    "V. D. Mur"
  ],
  "comment": "51 pages, 15 figures",
  "categories": [
    "cond-mat.mes-hall",
    "math-ph",
    "math.MP",
    "quant-ph"
  ],
  "abstract": "Physical problems for which the existence of non-trivial topological Pauli phase (i.e. fractional quantization of angular orbital angular momenta that is possible in 2D case) is essential are discussed within the framework of two-dimensional Helmholtz, Schroedinger and Dirac equations. As examples in classical field theory we consider a \"wedge problem\" -- a description of a field generated by a point charge between two conducting half-planes -- and a Fresnel diffraction from knife-edge. In few-electron circular quantum dots the choice between integer and half-integer quantization of orbital angular momenta is defined by the Pauli principle. This is in line with precise experimental data for the ground state energy of such quantum dots in a perpendicular magnetic field. In a gapless graphene, as in the case of gapped one, in the presence of overcharged impurity this problem can be solved experimentally, e.g., using the method of scanning tunnel spectroscopy.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-02-17T17:18:18.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "orbital angular momentum",
      "fractional quantization",
      "quantum physics",
      "few-electron circular quantum dots",
      "angular orbital angular momenta"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 51,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}