{
  "annotation_id": "6aef6790-c58c-4406-b898-36fa386fda0d",
  "date_created": "2026-03-02T18:02:16.363000Z",
  "date_modified": "2026-03-02T18:02:16.363000Z",
  "file_hash": "686b81cce2de242b35e4a2692385351b79c7fc0f57a40395c6dec2a5195396b9",
  "private": false,
  "record": {
    "abstract": "We propose an approximate solution of the time-dependent Schr\\\"odinger\nequation using the method of stationary states combined with a variational\nmatrix method for finding the energies and eigenstates. We illustrate the\neffectiveness of the method by applying it to the time development of the\nwave-function in the quantum-mechanical version of the inflationary slow-roll\ntransition.",
    "arxiv_id": "quant-ph/0504028",
    "authors": [
      "Paolo Amore",
      "Alfredo Aranda",
      "Francisco M. Fernandez",
      "Hugh Jones"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/j.physleta.2005.04.018",
    "journal_ref": "Physics Letters A 340, 87-93 (2005)",
    "title": "A new approximation method for time-dependent problems in quantum   mechanics",
    "url": "https://arxiv.org/abs/quant-ph/0504028"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "24b2e028-4288-4782-8a9d-68d88eaf7f14",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}