{
  "annotation_id": "3826556e-0f62-4ec7-8e94-a2f5a3f7bb18",
  "date_created": "2026-03-02T18:01:46.132000Z",
  "date_modified": "2026-03-02T18:01:46.132000Z",
  "file_hash": "4817ab80ece9653f6b39d2397c5d72e1f5de7c3df5ae2a72f322c27230ec07f8",
  "private": false,
  "record": {
    "abstract": "We consider the evolution of Green\u0027s function of the one-dimensional\nSchr\\\"odinger equation in the presence of the complex potential $-ik\\delta(x)$.\nOur result is the construction of an explicit time-dependent solution which we\nuse to calculate the time-dependent survival probability of a quantum particle.\nThe survival probability decays to zero in finite time, which means that the\ncomplex delta potential well is a total absorber for quantum particles. This\npotential can be interpreted as a killing measure with infinite killing rate\nconcentrated at the origin.",
    "arxiv_id": "quant-ph/0107152",
    "authors": [
      "A. Marchewka",
      "Zeev Schuss"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Total Absorption in Finite Time in an $i\\delta$ Potential",
    "url": "https://arxiv.org/abs/quant-ph/0107152"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2e4c2afc-2387-4b89-a7ba-016ca2c25a08",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}