{
  "id": "2101.01107",
  "version": "v1",
  "published": "2021-01-04T17:31:48.000Z",
  "updated": "2021-01-04T17:31:48.000Z",
  "title": "Potentials versus Geometry",
  "authors": [
    "T. Curtright",
    "S. Subedi"
  ],
  "categories": [
    "quant-ph",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We discuss some equivalence relations between the non-relativistic quantum mechanics for particles subjected to potentials and for particles moving freely on background geometries. In particular, we illustrate how selected geometries can be used to regularize singular potentials.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-01-04T17:31:48.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "non-relativistic quantum mechanics",
      "equivalence relations",
      "background geometries",
      "regularize singular potentials"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}