{
  "id": "1008.2906",
  "version": "v1",
  "published": "2010-08-17T14:33:54.000Z",
  "updated": "2010-08-17T14:33:54.000Z",
  "title": "Scattering and self-adjoint extensions of the Aharonov-Bohm hamiltonian",
  "authors": [
    "Cesar R. de Oliveira",
    "Marciano Pereira"
  ],
  "comment": "40 pages, 5 figures",
  "journal": "J. Phys. A: Math. Theor. 43 (2010) 354011",
  "categories": [
    "math-ph",
    "math.MP",
    "quant-ph"
  ],
  "abstract": "We consider the hamiltonian operator associated with planar sec- tions of infinitely long cylindrical solenoids and with a homogeneous magnetic field in their interior. First, in the Sobolev space $\\mathcal H^2$, we characterize all generalized boundary conditions on the solenoid bor- der compatible with quantum mechanics, i.e., the boundary conditions so that the corresponding hamiltonian operators are self-adjoint. Then we study and compare the scattering of the most usual boundary con- ditions, that is, Dirichlet, Neumann and Robin.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-08-17T14:33:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "aharonov-bohm hamiltonian",
      "self-adjoint extensions",
      "scattering",
      "homogeneous magnetic field",
      "usual boundary"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1088/1751-8113/43/35/354011",
      "journal": "Journal of Physics A Mathematical General",
      "year": 2010,
      "month": "Sep",
      "volume": 43,
      "number": 35,
      "pages": 354011
    },
    "note": {
      "typesetting": "TeX",
      "pages": 40,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010JPhA...43I4011D"
    }
  }
}