{
  "annotation_id": "c3b3a2bc-c9d7-4553-8972-c2af5346f46d",
  "date_created": "2026-03-02T18:01:38.772000Z",
  "date_modified": "2026-03-02T18:01:38.772000Z",
  "file_hash": "571e56349c7d3fbcb576576ad9854091096c04ccd6f5aa1ba62f3ca4c8ea8ebd",
  "private": false,
  "record": {
    "abstract": "Due to the space and time dependence of the wave function in the time\ndependent Schroedinger equation, different boundary conditions are possible.\nThe equation is usually solved as an ``initial value problem\u0027\u0027, by fixing the\nvalue of the wave function in all space at a given instant. We compare this\nstandard approach to \"source boundary conditions\u0027\u0027 that fix the wave at all\ntimes in a given region, in particular at a point in one dimension. In contrast\nto the well-known physical interpretation of the initial-value-problem\napproach, the interpretation of the source approach has remained unclear, since\nit introduces negative energy components, even for ``free motion\u0027\u0027, and a\ntime-dependent norm. This work provides physical meaning to the source method\nby finding the link with equivalent initial value problems.",
    "arxiv_id": "quant-ph/0007066",
    "authors": [
      "A. D. Baute",
      "I. L. Egusquiza",
      "J. G. Muga"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/34/20/303",
    "journal_ref": "J. Phys. A: Math. Gen. 34 (2001) 4289",
    "title": "Sources of quantum waves",
    "url": "https://arxiv.org/abs/quant-ph/0007066"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c41002d8-11d6-4e03-b543-1ec2fa4a45cb",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}