{
  "id": "math-ph/0206026",
  "version": "v2",
  "published": "2002-06-18T00:22:12.000Z",
  "updated": "2004-02-10T20:47:06.000Z",
  "title": "Hamiltonian and Linear-Space Structure for Damped Oscillators: I. General Theory",
  "authors": [
    "S. C. Chee",
    "Alec Maassen van den Brink",
    "K. Young"
  ],
  "comment": "REVTeX4, 10pp., 1 PS figure. N.B.: `Alec' is my first name, `Maassen van den Brink' my family name. v2: extensive streamlining",
  "journal": "J. Phys. A _37_, 8865 (2004)",
  "doi": "10.1088/0305-4470/37/37/008",
  "categories": [
    "math-ph",
    "math.DS",
    "math.MP",
    "math.RA",
    "physics.class-ph"
  ],
  "abstract": "The phase space of $N$ damped linear oscillators is endowed with a bilinear map under which the evolution operator is symmetric. This analog of self-adjointness allows properties familiar from conservative systems to be recovered, e.g., eigenvectors are \"orthogonal\" under the bilinear map and obey sum rules, initial-value problems are readily solved and perturbation theory applies to the_complex_ eigenvalues. These concepts are conveniently represented in a biorthogonal basis.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2004-02-10T20:47:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "general theory",
      "linear-space structure",
      "damped oscillators",
      "bilinear map",
      "hamiltonian"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Physics A Mathematical General",
      "year": 2004,
      "month": "Sep",
      "volume": 37,
      "pages": 8865
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004JPhA...37.8865C"
    }
  }
}