{
  "id": "1510.05443",
  "version": "v1",
  "published": "2015-10-19T12:33:13.000Z",
  "updated": "2015-10-19T12:33:13.000Z",
  "title": "Poincaré-like approach to Landau Theory. I. General theory",
  "authors": [
    "G. Gaeta"
  ],
  "journal": "J. Math. Phys. 56 (2015), 083504",
  "categories": [
    "math-ph",
    "cond-mat.soft",
    "math.MP",
    "physics.class-ph"
  ],
  "abstract": "We discuss a procedure to simplify the Landau potential, based on Michel's reduction to orbit space and Poincar\\'e normalization procedure; and illustrate it by concrete examples. The method makes use, as in Poincar\\'e theory, of a chain of near-identity coordinate transformations with homogeneous generating functions; using Michel's insight, one can work in orbit space. It is shown that it is possible to control the choice of generating functions so to obtain a (in many cases, substantial) simplification of the Landau polynomial, including a reduction of the parameters it depends on. Several examples are considered in detail.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-10-19T12:33:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "general theory",
      "landau theory",
      "poincaré-like approach",
      "orbit space",
      "poincare normalization procedure"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AIP",
      "journal": "J. Math. Phys."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}