{
  "annotation_id": "3a1cd398-3b2e-4b30-872a-81e69ff82462",
  "date_created": "2026-03-02T18:02:34.588000Z",
  "date_modified": "2026-03-02T18:02:34.588000Z",
  "file_hash": "a4fb6e1524866fb95bdf4ecd6c9af3ae28acb5ec857aa06c58abac5e1d697cca",
  "private": false,
  "record": {
    "abstract": "Using a recently developed procedure - multiple wave packet decomposition -\nhere we study the phase time formulation for tunneling/reflecting particles\ncolliding with a potential barrier. To partially overcome the analytical\ndifficulties which frequently arise when the stationary phase method is\nemployed for deriving phase (tunneling) time expressions, we present a\ntheoretical exercise involving a symmetrical collision between two identical\nwave packets and an one-dimensional rectangular potential barrier. Summing the\namplitudes of the reflected and transmitted waves - using a method we call\nmultiple peak decomposition - is shown to allow reconstruction of the scattered\nwave packets in a way which allows the stationary phase principle to be\nrecovered.",
    "arxiv_id": "quant-ph/0701010",
    "authors": [
      "Alex E. Bernardini"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.74.062111",
    "journal_ref": "Phys. Rev. A74 (2006) 062111",
    "title": "Limitations on the principle of stationary phase when it is applied to   tunneling analysis",
    "url": "https://arxiv.org/abs/quant-ph/0701010"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "329942ad-eaa4-481d-8bac-7f00c8dfaedd",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}