{
  "annotation_id": "fc3b5f45-489b-49bb-8c4c-a129b487e6f6",
  "date_created": "2026-03-02T18:02:06.346000Z",
  "date_modified": "2026-03-02T18:02:06.346000Z",
  "file_hash": "e6a44d7c7e7014daa784dc75a73d72b4688e3f1dd2145e86f02d6aa11a53cace",
  "private": false,
  "record": {
    "abstract": "The behaviour of a particle with a spin 1/2 and a dipole magnetic moment in a\ntime-varying magnetic field in the form $(h_0 cn(\\omega t,k), h_0 sn(\\omega\nt,k), H_0 dn(\\omega t,k))$, where $\\omega$ is the driving field frequency, $t$\nis the time, $h_0$ and $H_0$ are the field amplitudes, $cn$, $sn$, $dn$ are\nJacobi elliptic functions, $ k$ is the modulus of the elliptic functions has\nbeen considered. The variation parameter $k$ from zero to 1 gives rise to a\nwide set of functions from trigonometric shapes to exponential pulse shapes\nmodulating the field. The problem was reduced to the solution of general Heun\u0027\nequation. The exact solution of the wave function was found at resonance for\nany $ k$. It has been shown that the transition probability in this case does\nnot depend on $k$. The present study may be useful for analysis interference\nexperiments, improving magnetic spectrometers and the field of quantum\ncomputing.",
    "arxiv_id": "quant-ph/0404114",
    "authors": [
      "E. A. Ivanchenko"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/j.physb.2005.01.466",
    "journal_ref": "Physica B 358 (2005) 308-313",
    "title": "Magnetic resonance in an elliptic magnetic field",
    "url": "https://arxiv.org/abs/quant-ph/0404114"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d3fa4d86-4ca5-4bcb-b1bd-f0f5534f01ad",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}