{
  "annotation_id": "eb7fb665-bd1b-4a54-907b-200908feec3b",
  "date_created": "2026-03-02T18:02:20.486000Z",
  "date_modified": "2026-03-02T18:02:20.486000Z",
  "file_hash": "4c261bff3e63694f89b39f5cd63b1dda242bfaa22cc47a7dc6156d11d5ed8e11",
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  "record": {
    "abstract": "A new method of diagonalisation of the XY-Hamiltonian of inhomogeneous open\nlinear chains with periodic (in space) changing Larmor frequencies and coupling\nconstants is developed. As an example of application, multiple quantum dynamics\nof an inhomogeneous chain consisting of 1001 spins is investigated. Intensities\nof multiple quantum coherences are calculated for arbitrary inhomogeneous\nchains in the approximation of the next nearest interactions.\n  {\\it Key words:} linear spin chain, nearest--neighbour approximation,\nthree--diagonal matrices, diagonalisation, fermions, multiple--quantum NMR,\nmultiple--quantum coherence, intensities of multiple--quantum coherences.\n  {\\it PACS numbers:} 05.30.-d; 76.20.+q",
    "arxiv_id": "quant-ph/0510070",
    "authors": [
      "K. E. Feldman"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.other",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1088/0305-4470/39/5/003",
    "journal_ref": "J. Phys. A: Math. Gen., V. 39 (2006), 1039--1056",
    "title": "Exact Diagonalisation of The XY-Hamiltonian of Open Linear Chains with   Periodic Coupling Constants and Its Application to Dynamics of   One-Dimensional Spin Systems",
    "url": "https://arxiv.org/abs/quant-ph/0510070"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7c74b8ce-0a37-46bc-b4f9-e3b6631adb07",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}