{
  "annotation_id": "74c205f3-f23d-433d-a844-4239527325bd",
  "date_created": "2026-03-02T18:02:07.092000Z",
  "date_modified": "2026-03-02T18:02:07.092000Z",
  "file_hash": "965daada729b538ed33a62fc93262894061f2f60d77980d8cff8d860380424bf",
  "private": false,
  "record": {
    "abstract": "We present a renewed wave-packet analysis based on the following ideas: if a\nquantum one-particle scattering process and the corresponding state are\ndescribed by an indivisible wave packet to move as a whole at all stages of\nscattering, then they are elementary; otherwise, they are combined; each\ncombined process consists from several alternative elementary ones to proceed\nsimultaneously; the corresponding (normed) state can be uniquely presented as\nthe sum of elementary ones whose (constant) norms give unit, in sum; Born\u0027s\nformula intended for calculating the {\\it expectation} values of physical\nobservables, as well as the standard timing procedure are valid only for\nelementary states and processes; only an elementary time-dependent state can be\nconsidered as the quantum counterpart to some classical one-particle rajectory.\nBy our approach, tunneling a non-relativistic particle through a static\none-dimensional potential barrier is a combined process consisting from two\nelementary ones, transmission and reflection. In the standard setting of the\nproblem, we find an unique pair of solutions to the Schr\\\"odinger equation,\nwhich describe separately transmission and reflection. On this basis we\nintroduce (exact and asymptotic) characteristic times for transmission and\nreflection.",
    "arxiv_id": "quant-ph/0405028",
    "authors": [
      "N. L. Chuprikov"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.mes-hall"
    ],
    "title": "Wave functions and characteristic times for transmission and reflection",
    "url": "https://arxiv.org/abs/quant-ph/0405028"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7bafeccc-ff79-4e52-9e94-a5d6196ff6bd",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}