{
  "annotation_id": "a239d7e2-7398-42a6-a5e4-16b3e0de2147",
  "date_created": "2026-03-02T18:02:10.005000Z",
  "date_modified": "2026-03-02T18:02:10.005000Z",
  "file_hash": "05d95c3140bf2dc65a47f2c8b0489b68a6b5a8279d6b09c192b964b4c9c568b2",
  "private": false,
  "record": {
    "abstract": "We study the problem of the behavior of a quantum massless scalar field in\nthe space between two parallel infinite perfectly conducting plates, one of\nthem stationary, the other moving periodically. We reformulate the physical\nproblem into a problem about the asymptotic behavior of the iterates of a map\nof the circle, and then apply results from theory of dynamical systems to study\nthe properties of the map. Many of the general mathematical properties of maps\nof the circle translate into properties of the field in the cavity. For\nexample, we give a complete classification of the possible resonances in the\nsystem, and show that small enough perturbations do not destroy the resonances.\nWe use some mathematical identities to give transparent physical interpretation\nof the processes of creation and amplification of the quantum field due to the\nmotion of the boundary and to elucidate the similarities and the differences\nbetween the classical and quantum fields in domains with moving boundaries.",
    "arxiv_id": "quant-ph/0408010",
    "authors": [
      "Nikola P. Petrov"
    ],
    "categories": [
      "quant-ph",
      "math.DS"
    ],
    "doi": "10.1088/1464-4266/7/3/013",
    "title": "Dynamical Casimir effect in a periodically changing domain: A dynamical   systems approach",
    "url": "https://arxiv.org/abs/quant-ph/0408010"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "93023f38-079d-4488-9d38-f7adf156bcc5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}