{
  "id": "1504.04146",
  "version": "v1",
  "published": "2015-04-16T09:01:35.000Z",
  "updated": "2015-04-16T09:01:35.000Z",
  "title": "Improvement of the envelope theory with the dominantly orbital state method",
  "authors": [
    "Claude Semay"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:1501.01383",
  "categories": [
    "quant-ph"
  ],
  "abstract": "The envelope theory, also known as the auxiliary field method, is a simple technique to compute approximate solutions of Hamiltonians for $N$ identical particles in $D$ dimensions. The quality of the approximate eigenvalues can be improved by adding a free parameter in the characteristic global quantum number of the solutions. A method is proposed to determine the value of this parameter by comparing the eigenvalues computed with the envelope theory to the corresponding ones computed with a $N$-body generalization of the dominantly orbital state method. The accuracy of the procedure is tested with several systems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-04-16T09:01:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dominantly orbital state method",
      "envelope theory",
      "characteristic global quantum number",
      "improvement",
      "auxiliary field method"
    ],
    "publication": {
      "doi": "10.1140/epjp/i2015-15156-7",
      "journal": "European Physical Journal Plus",
      "year": 2015,
      "month": "Jul",
      "volume": 130,
      "pages": 156
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015EPJP..130..156S",
      "inspire": 1363689
    }
  }
}