{
  "id": "0903.3181",
  "version": "v1",
  "published": "2009-03-18T15:13:30.000Z",
  "updated": "2009-03-18T15:13:30.000Z",
  "title": "Semirelativistic Hamiltonians and the auxiliary field method",
  "authors": [
    "Bernard Silvestre-Brac",
    "Claude Semay",
    "Fabien Buisseret"
  ],
  "journal": "Int. J. Mod. Phys. A 24, 4695 (2009)",
  "doi": "10.1142/S0217751X09045960",
  "categories": [
    "quant-ph",
    "hep-ph"
  ],
  "abstract": "Approximate analytical closed energy formulas for semirelativistic Hamiltonians of the form $\\sigma\\sqrt{\\bm p^{2}+m^2}+V(r)$ are obtained within the framework of the auxiliary field method. This method, which is equivalent to the envelope theory, has been recently proposed as a powerful tool to get approximate analytical solutions of the Schr\\\"odinger equation. Various shapes for the potential $V(r)$ are investigated: power-law, funnel, square root, and Yukawa. A comparison with the exact results is discussed in detail.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-03-18T15:13:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.65.Ge"
    ],
    "keywords": [
      "auxiliary field method",
      "semirelativistic hamiltonians",
      "approximate analytical closed energy formulas",
      "exact results",
      "envelope theory"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "International Journal of Modern Physics A",
      "year": 2009,
      "volume": 24,
      "number": "25-26",
      "pages": 4695
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009IJMPA..24.4695S"
    }
  }
}