{
  "annotation_id": "e2ceb4f4-39bc-43f8-8315-b8a4a5fe4974",
  "date_created": "2026-03-02T18:02:47.656000Z",
  "date_modified": "2026-03-02T18:02:47.656000Z",
  "file_hash": "4fb50e8ee6f4a99c9b4ee141b2a1840f927fcdf157f50f709d14b32665a1ded8",
  "private": false,
  "record": {
    "abstract": "We propose a formulation of an absorbing boundary for a quantum particle. The\nformulation is based on a Feynman-type integral over trajectories that are\nconfined by the absorbing boundary. Trajectories that reach the absorbing wall\nare instantaneously terminated and their probability is discounted from the\npopulation of the surviving trajectories. This gives rise to a unidirectional\nabsorption current at the boundary. We calculate the survival probability as a\nfunction of time. Several modes of absorption are derived from our formalism:\ntotal absorption, absorption that depends on energy levels, and absorption of\nnon-interacting particles. Several applications are given: the slit experiment\nwith an absorbing screen and with absorbing lateral walls, and one dimensional\nparticle between two absorbing walls. The survival probability of a particle\nbetween absorbing walls exhibits decay with beats.",
    "arxiv_id": "quant-ph/9906003",
    "authors": [
      "A. Marchewka",
      "Z. Schuss"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Feynman Integral Approach to Absorption in Quantum Mechanics",
    "url": "https://arxiv.org/abs/quant-ph/9906003"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c227afcb-8783-4342-8713-cfe13b3504b4",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}