{
  "id": "1111.6325",
  "version": "v2",
  "published": "2011-11-28T01:04:56.000Z",
  "updated": "2012-04-03T05:29:13.000Z",
  "title": "Microlocal properties of sheaves and complex WKB",
  "authors": [
    "Alexander Getmanenko",
    "Dmitry Tamarkin"
  ],
  "comment": "1) an assumption has been added to the main result (which still holds for an arbitrary polynomial potential); 2) references to related work by other authors have been added; 3) other minor corrections",
  "categories": [
    "math-ph",
    "math.AP",
    "math.CA",
    "math.MP"
  ],
  "abstract": "Kashiwara-Schapira style sheaf theory is used to justify analytic continuability of solutions of a Laplace transformed Schroedinger equation with a small parameter. This partially proves the description of the Stokes phenomenon for WKB asymptotics predicted by Voros in 1983.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-04-03T05:29:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "complex wkb",
      "microlocal properties",
      "kashiwara-schapira style sheaf theory",
      "laplace transformed schroedinger equation",
      "justify analytic continuability"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1111.6325G"
    }
  }
}