{
  "annotation_id": "e42693ae-4949-401f-89d8-39d27718f5af",
  "date_created": "2026-03-02T18:02:41.712000Z",
  "date_modified": "2026-03-02T18:02:41.712000Z",
  "file_hash": "d119a7f7ac07e2f30725a01352ca9782cb34020a3d5c9503e9e3ada985355af8",
  "private": false,
  "record": {
    "abstract": "Using the Caldirola-Kanai Hamiltonian, we study the time evolution of the\nwave function of a particle whose classical motion is governed by the Langevin\nequation. We show, in particular, that if the initial wave function is\nGaussian, then (i) it remains Gaussian for all times, (ii) its width grows,\napproaching a finite value when t-\u003einfinity, and (iii) its center describes a\nBrownian motion, and so the uncertainty in the position of the particle grows\nwithout limit.",
    "arxiv_id": "quant-ph/9805005",
    "authors": [
      "R. M. Cavalcanti"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.stat-mech"
    ],
    "doi": "10.1103/PhysRevE.58.6807",
    "journal_ref": "Phys.Rev. E58 (1998) 6807",
    "title": "Wave function of a Brownian particle",
    "url": "https://arxiv.org/abs/quant-ph/9805005"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e1202ce4-594c-4369-93cf-54609355f171",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}