{
  "annotation_id": "e3d0dde5-21c4-426e-bd6e-c4f1138cd60a",
  "date_created": "2026-03-02T18:00:53.176000Z",
  "date_modified": "2026-03-02T18:00:53.176000Z",
  "file_hash": "07ea5317e93231fce9c49ebcacc3f851a710ae95aa25d378e9ae5f4e6a579e13",
  "private": false,
  "record": {
    "abstract": "We develop a Hamiltonian theory for a time dispersive and dissipative (TDD)\ninhomogeneous medium, as described by a linear response equation respecting\ncausality and power dissipation. The canonical Hamiltonian constructed here\nexactly reproduces the original dissipative evolution after integrating out\nauxiliary fields. In particular, for a dielectric medium we obtain a simple\nformula for the Hamiltonian and closed form expressions for the energy density\nand energy flux involving the auxiliary fields. The developed approach also\nallows to treat a long standing problem of scattering from a lossy\nnon-spherical obstacle and, more generally, wave propagation in TDD media.",
    "arxiv_id": "physics/0410127",
    "authors": [
      "A. Figotin",
      "J. H. Schenker"
    ],
    "categories": [
      "physics.class-ph",
      "math-ph",
      "math.MP",
      "physics.gen-ph"
    ],
    "doi": "10.1016/j.cam.2006.01.038",
    "journal_ref": "J. Comp. Appl. Math. 204 (2007), 199-208",
    "title": "Hamiltonian treatment of time dispersive and dissipative media within   the linear response theory",
    "url": "https://arxiv.org/abs/physics/0410127"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "54c8ca96-2f5e-4dd3-9455-84137a784df6",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}