{
  "id": "1511.01241",
  "version": "v1",
  "published": "2015-11-04T08:40:41.000Z",
  "updated": "2015-11-04T08:40:41.000Z",
  "title": "Semiclassical states associated to isotropic submanifolds of phase space",
  "authors": [
    "Victor Guillemin",
    "Alejandro Uribe",
    "Zuoqin Wang"
  ],
  "comment": "23 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We define classes of quantum states associated to isotropic submanifolds of cotangent bundles. The classes are stable under the action of semiclassical pseudo-differential operators and covariant under the action of semiclassical Fourier integral operators. We develop a semiclassical symbol calculus for them; the symbols are symplectic spinors. We outline various applications.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-11-04T08:40:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58J40",
      "81Q20"
    ],
    "keywords": [
      "isotropic submanifolds",
      "phase space",
      "semiclassical states",
      "semiclassical fourier integral operators",
      "quantum states"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151101241G"
    }
  }
}