{
  "annotation_id": "2fd5f02a-6779-40f9-a202-f92ed8db6a77",
  "date_created": "2026-03-02T18:01:21.565000Z",
  "date_modified": "2026-03-02T18:01:21.565000Z",
  "file_hash": "44f633007ee6733cbf77092611c271c21e3dd2ff99c5023f006f254b300be7a0",
  "private": false,
  "record": {
    "abstract": "Two problems incorporating a set of horizontal linear potentials crossed by a\nsloped linear potential are analytically solved and compared with numerical\nresults: (a) the case where boundary conditions are specified at the ends of a\nfinite interval, and (b) the case where the sloped linear potential is replaced\nby a piecewise-linear sloped potential and the boundary conditions are\nspecified at infinity. In the approximation of small gaps between the\nhorizontal potentials, an approach similar to the one used for the degenerate\nproblem (Yurovsky V A and Ben-Reuven A 1998 J. Phys. B 31,1) is applicable for\nboth problems. The resulting scattering matrix has a form different from the\nsemiclassical result obtained by taking the product of Landau-Zener amplitudes.\nCounterintuitive transitions involving a pair of successive crossings, in which\nthe second crossing precedes the first one along the direction of motion, are\nallowed in both models considered here.",
    "arxiv_id": "physics/9811053",
    "authors": [
      "V. A. Yurovsky",
      "A. Ben-Reuven",
      "P. S. Julienne",
      "Y. B. Band"
    ],
    "categories": [
      "physics.atom-ph",
      "physics.chem-ph"
    ],
    "doi": "10.1088/0953-4075/32/8/306",
    "journal_ref": "J. Phys. B, 32 (1999) 1845",
    "title": "Counterintuitive transitions in multistate curve crossing involving   linear potentials",
    "url": "https://arxiv.org/abs/physics/9811053"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3ab937e2-6024-411c-b9e0-3f6f868302fd",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}