{
  "id": "1509.00381",
  "version": "v1",
  "published": "2015-09-01T16:28:30.000Z",
  "updated": "2015-09-01T16:28:30.000Z",
  "title": "Moving Walls and Geometric Phases",
  "authors": [
    "Paolo Facchi",
    "Giancarlo Garnero",
    "Giuseppe Marmo",
    "Joseph Samuel"
  ],
  "comment": "16 pages, 5 figures",
  "categories": [
    "math-ph",
    "math.MP",
    "quant-ph"
  ],
  "abstract": "We unveil the existence of a non-trivial Berry phase associated to the dynamics of a quantum particle in a one dimensional box with moving walls. It is shown that a suitable choice of boundary conditions has to be made in order to preserve unitarity. For these boundary conditions we compute explicitly the geometric phase two-form on the parameter space. The unboundedness of the Hamiltonian describing the system leads to a natural prescription of renormalization for divergent contributions arising from the boundary.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-01T16:28:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "moving walls",
      "boundary conditions",
      "non-trivial berry phase",
      "geometric phase two-form",
      "divergent contributions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}