{
  "id": "1006.4447",
  "version": "v2",
  "published": "2010-06-23T08:49:57.000Z",
  "updated": "2017-01-20T11:03:54.000Z",
  "title": "Geometric characteristics of quantum evolution: curvature and torsion",
  "authors": [
    "H. P. Laba",
    "V. M. Tkachuk"
  ],
  "comment": "corrections are made and new references are added",
  "categories": [
    "quant-ph",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We study characteristics of quantum evolution which can be called curvature and torsion. The curvature shows a deviation of the state vector in quantum evolution from the geodesic line. The torsion shows a deviation of state vector from the plane of evolution (a two-dimensional subspace) at a given time.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-06-23T08:49:57.000Z",
      "title": "Curvature and torsion of quantum evolution",
      "abstract": "We study characteristics of quantum evolution which can be called curvature and torsion. The curvature shows a deviation of the state vector of the quantum evolution from the geodesic line and the torsion shows a deviation of state vector from the plane of evolution (a two-dimensional subspace) at a given time.",
      "comment": "10 pages",
      "journal": null,
      "doi": null,
      "authors": [
        "V. M. Tkachuk"
      ]
    },
    {
      "version": "v2",
      "updated": "2017-01-20T11:03:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum evolution",
      "state vector",
      "geodesic line",
      "study characteristics"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}