{
  "id": "0806.1708",
  "version": "v2",
  "published": "2008-06-10T17:09:07.000Z",
  "updated": "2008-12-20T23:07:07.000Z",
  "title": "The Thermodynamic Limit of Quantum Coulomb Systems. Part I. General Theory",
  "authors": [
    "Christian Hainzl",
    "Mathieu Lewin",
    "Jan Philip Solovej"
  ],
  "comment": "Final version to appear in Advances in Mathematics",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "This article is the first in a series dealing with the thermodynamic properties of quantum Coulomb systems. In this first part, we consider a general real-valued function $E$ defined on all bounded open sets of $\\R^3$. Our aim is to give sufficient conditions such that $E$ has a thermodynamic limit. This means that the limit $E(\\Omega_n)|\\Omega_n|^{-1}$ exists for all `regular enough' sequence $\\Omega_n$ with growing volume, $|\\Omega_n|\\to\\ii$, and is independent of the considered sequence. The sufficient conditions presented in our work all have a clear physical interpretation. In the next paper, we show that the free energies of many different quantum Coulomb systems satisfy these assumptions, hence have a thermodynamic limit.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-12-20T23:07:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "thermodynamic limit",
      "general theory",
      "quantum coulomb systems satisfy",
      "sufficient conditions",
      "thermodynamic properties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0806.1708H"
    }
  }
}