{
  "id": "cond-mat/0602625",
  "version": "v1",
  "published": "2006-02-27T12:35:06.000Z",
  "updated": "2006-02-27T12:35:06.000Z",
  "title": "On the Basis of Quantum Statistical Mechanics",
  "authors": [
    "Ayumu Sugita"
  ],
  "comment": "6 pages, 1 figure, submitted to the Proceedings of the 6th International Summer School and Conference \"Let's Face Chaos through Nonlinear Dynamics\"",
  "journal": "Nonlinear Phenomena in Complex Systems, Vol. 10, No. 2 (2007), pp. 192-195.",
  "categories": [
    "cond-mat.stat-mech",
    "quant-ph"
  ],
  "abstract": "We propose a new approach to justify the use of the microcanonical ensemble for isolated macroscopic quantum systems. Since there are huge number of independent observables in a macroscopic system, we cannot see all of them. Actually what we observe can be written in a rather simple combination of local observables. Considering this limitation, we show that almost all states in a energy shell are practically indistinguishable from one another, and hence from the microcanonical ensemble. In particular, the expectation value of a macroscopic observable is very close to its microcanonical ensemble average for almost all states.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-02-27T12:35:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum statistical mechanics",
      "microcanonical ensemble",
      "isolated macroscopic quantum systems",
      "local observables",
      "expectation value"
    ],
    "tags": [
      "conference paper",
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006cond.mat..2625S"
    }
  }
}