{
  "annotation_id": "53a82805-897e-4353-bb9d-6706ac24d955",
  "date_created": "2026-03-02T18:01:10.852000Z",
  "date_modified": "2026-03-02T18:01:10.852000Z",
  "file_hash": "a0bce84dec13980dff1f715ffc25339af1952240447f944d75dde7623a3de677",
  "private": false,
  "record": {
    "abstract": "The energy conservation is a general law of nature. In the classical physics,\nthe energy W_{AB} of a conservative system {AB} that contains the objects A and\nB is equal to a sum of the positive energies W_A and W_B of the isolated\nobjects A and B, W_{AB} = W_A+W_B. We show that the energy conservation does\nnot exhibit the \"classic law\" if the physical objects are waves or they do have\na wave nature of microscopic (quantum) objects. The \"extra energy\", \"negative\nenergy\" and \"annihilation of energy\" are predicted for multi-wave (multi-beam)\nsystems. The paradoxical phenomenon is demonstrated in context of the\nextraordinary transmission of light and matter through subwavelength aperture\narrays assisted by surface waves [T.W. Ebbesen et al., Nature (London) 391,\n667(1998)) and E. Moreno et al., Phys. Rev. Lett. 95, 170406 (2005)].",
    "arxiv_id": "physics/0606055",
    "authors": [
      "S. V. Kukhlevsky"
    ],
    "categories": [
      "physics.optics",
      "physics.class-ph",
      "quant-ph"
    ],
    "title": "Non-classical Energy Conservation in Multi-wave Systems: \"Extra Energy\",   \"Negative Energy\" and \"Annihilation of Energy\"",
    "url": "https://arxiv.org/abs/physics/0606055"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4d34b54a-8803-47f7-ab08-a2223f1378a5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}