{
  "annotation_id": "0a6151c1-481c-41f1-8041-7a53f7833db4",
  "date_created": "2026-03-02T18:02:09.394000Z",
  "date_modified": "2026-03-02T18:02:09.394000Z",
  "file_hash": "f3ddacfa00fd6fab6e0d86ba6de0ba33ab7f3612e61bc722baa0f98a51045c9d",
  "private": false,
  "record": {
    "abstract": "The model of weak measurements is applied to various problems, related to the\ntime problem in quantum mechanics. The review and generalization of the\ntheoretical analysis of the time problem in quantum mechanics based on the\nconcept of weak measurements are presented. A question of the time interval the\nsystem spends in the specified state, when the final state of the system is\ngiven, is raised. Using the concept of weak measurements the expression for\nsuch time is obtained. The results are applied to the tunneling problem. A\nprocedure for the calculation of the asymptotic tunneling and reflection times\nis proposed. Examples for delta-form and rectangular barrier illustrate the\nobtained results. Using the concept of weak measurements the arrival time\nprobability distribution is defined by analogy with the classical mechanics.\nThe proposed procedure is suitable to the free particles and to particles\nsubjected to an external potential, as well. It is shown that such an approach\nimposes an inherent limitation to the accuracy of the arrival time definition.",
    "arxiv_id": "quant-ph/0409006",
    "authors": [
      "J. Ruseckas",
      "B. Kaulakys"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.3952/lithjphys.44301",
    "journal_ref": "Lithuanian Journal of Physics, Vol. 44, 161-182 (2004)",
    "title": "Time problem in quantum mechanics and its analysis by the concept of   weak measurement",
    "url": "https://arxiv.org/abs/quant-ph/0409006"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "213a5445-f682-4aa1-b789-ea5f8cc74f38",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}