{
  "id": "1209.6072",
  "version": "v2",
  "published": "2012-09-26T20:39:27.000Z",
  "updated": "2012-11-14T17:06:46.000Z",
  "title": "The Casimir effect as a sum-over-modes in dissipative systems",
  "authors": [
    "Francesco Intravaia",
    "Ryan Behunin"
  ],
  "comment": "20 pages, 3 figures",
  "journal": "Phys. Rev. A 86, 062517 (2012)",
  "doi": "10.1103/PhysRevA.86.062517",
  "categories": [
    "quant-ph"
  ],
  "abstract": "The aim of this paper is to show that within the open-system framework the sum-over-modes approach \\'a la Casimir leads to the Lifshitz formula for the Casimir free energy. A general result applicable to arbitrary geometries is obtained through the use of Ford, Lewis, & O'Connell's remarkable formula. Additionally, we address the possibility for obtaining the Casimir energy as a sum over complex \"modes\". We show in this case that the standard sum-over-modes formula must be suitably generalized to avert unphysical complex energies. Finally, we apply our results to several standard examples.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-11-14T17:06:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "31.30.jh",
      "12.20.-m",
      "71.10.-w",
      "03.70.+k"
    ],
    "keywords": [
      "casimir effect",
      "dissipative systems",
      "casimir free energy",
      "standard sum-over-modes formula",
      "avert unphysical complex energies"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review A",
      "year": 2012,
      "month": "Dec",
      "volume": 86,
      "number": 6,
      "pages": "062517"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012PhRvA..86f2517I"
    }
  }
}