{
  "id": "1608.05692",
  "version": "v1",
  "published": "2016-08-19T18:44:32.000Z",
  "updated": "2016-08-19T18:44:32.000Z",
  "title": "The Maslov and Morse indices for Schrödinger operators on $\\mathbb{R}$",
  "authors": [
    "Peter Howard",
    "Yuri Latushkin",
    "Alim Sukhtayev"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "Assuming a symmetric potential that approaches constant endstates with a sufficient asymptotic rate, we relate the Maslov and Morse indices for Schr\\\"odinger operators on $\\mathbb{R}$. In particular, we show that with our choice of convention, the Morse index is precisely the negative of the Maslov index.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-08-19T18:44:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34L15"
    ],
    "keywords": [
      "morse index",
      "schrödinger operators",
      "approaches constant endstates",
      "sufficient asymptotic rate",
      "symmetric potential"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}