{
  "annotation_id": "0f27d983-335f-4fbd-94bc-1ab798d966b2",
  "date_created": "2026-03-02T18:01:59.675000Z",
  "date_modified": "2026-03-02T18:01:59.675000Z",
  "file_hash": "072e454ac64441f7b9ebd252d3e60535ec75506c539775985a3831e911806810",
  "private": false,
  "record": {
    "abstract": "It has been found that functions can oscillate locally much faster than their\nFourier transform would suggest is possible - a phenomenon called\nsuperoscillation. Here, we consider the case of superoscillating wave functions\nin quantum mechanics. We find that they possess rather unusual properties which\nraise measurement theoretic, thermodynamic and information theoretic issues. We\nexplicitly determine the wave functions with the most pronounced\nsuperoscillations, together with their scaling behavior. We also address the\nquestion how superoscillating wave functions could be produced.",
    "arxiv_id": "quant-ph/0305148",
    "authors": [
      "Achim Kempf",
      "Paulo J. S. G. Ferreira"
    ],
    "categories": [
      "quant-ph",
      "hep-th"
    ],
    "doi": "10.1088/0305-4470/37/50/009",
    "journal_ref": "J.Phys. A37 (2004) 12067-12076",
    "title": "Unusual Properties of Superoscillating Particles",
    "url": "https://arxiv.org/abs/quant-ph/0305148"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "17268c3a-113d-4f7c-b063-bdb6f201fdb1",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}