{
  "annotation_id": "e1c68d03-3711-4e31-9b01-f99c710c95ed",
  "date_created": "2026-03-02T18:02:13.689000Z",
  "date_modified": "2026-03-02T18:02:13.689000Z",
  "file_hash": "4e4279953035f549d3a6588ff17c91b11eaf9922816058cd5f2fe12ad05c7312",
  "private": false,
  "record": {
    "abstract": "The aim of the present article is to study in detail the so-called spin\nequation (SE) and present both the methods of generating new solution and a new\nset of exact solutions. We recall that the SE with a real external field can be\ntreated as a reduction of the Pauli equation to the (0+1)-dimensional case.\nTwo-level systems can be described by an SE with a particular form of the\nexternal field. In this article, we also consider associated equations that are\nequivalent or (in one way or another) related to the SE. We describe the\ngeneral solution of the SE and solve the inverse problem for this equation. We\nconstruct the evolution operator for the SE and consider methods of generating\nnew sets of exact solutions. Finally, we find a new set of exact solutions of\nthe SE.",
    "arxiv_id": "quant-ph/0502034",
    "authors": [
      "V. G. Bagrov",
      "D. M. Gitman",
      "M. C. Baldiotti",
      "A. D. Levin"
    ],
    "categories": [
      "quant-ph",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1002/andp.200510176",
    "journal_ref": "Ann. Phys. (Leipzig) 14 [11-12] pp.764-789 (2005)",
    "title": "Spin equation and its solutions",
    "url": "https://arxiv.org/abs/quant-ph/0502034"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1aa0fab3-495d-4ad3-9db1-dd3fdc5fb444",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}