{
  "annotation_id": "1f202624-b9d7-484a-ba6d-97985e11ff17",
  "date_created": "2026-03-02T18:02:34.431000Z",
  "date_modified": "2026-03-02T18:02:34.431000Z",
  "file_hash": "a0dca0de42166f37901f05a4c59fc7b8280fc8d4dde4f9c5a9d1c8b47774c756",
  "private": false,
  "record": {
    "abstract": "We present the formulation of non relativistic quantum mechanics in the\nextended space (u,x,t) where x and t are coordinates of particles and time, and\nu - an additional real parameter that corresponds to generalized virial - an\nintegral over path on potential energy of the particle. If the u value is\ndefined, the state of a particle is described by the partial wave function\nF(u,x,t) (PWF). The wave function is obtained from F(u,x,t) by special integral\ntransform. The \"drift\" wave equation (DWE) for F(u,x,t) is introduced. The\nintegral invariants of F(u,x,t) evolution are obtained. The sets of orthonormal\nsolutions for stationary DWE are obtained; the moments of distribution of are\ncalculated. The process of \"aging\" of PWF is described. Effective time interval\nnecessary for the creation of the state is calculated within the limits of PWF\nformalism. The structure of the time interval between the processes of\nconsequent quantum transition is investigated. The theoretical basis for the\ndescribing counterfactual situations in quantum mechanics is examined.",
    "arxiv_id": "quant-ph/0702096",
    "authors": [
      "A. G. Shkorbatov"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "The method of partial wave functions and the structure of time interval   between the subsequent quantum transitions",
    "url": "https://arxiv.org/abs/quant-ph/0702096"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "6f7d9e84-98fe-4b6c-9b6d-424cc54993c2",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}