{
  "annotation_id": "67eb24db-9328-4973-8532-1c63e7163d34",
  "date_created": "2026-03-02T18:02:03.197000Z",
  "date_modified": "2026-03-02T18:02:03.197000Z",
  "file_hash": "9673fd3df2d4835823f341995fedc3a16205abcdb6d06bd28f7f571037f2d3b4",
  "private": false,
  "record": {
    "abstract": "We study the influence of the nonlinearity in the Schrodinger equation on the\nmotion of quantum particles in a harmonic trap. In order to obtain exact\nanalytic solutions, we have chosen the logarithmic nonlinearity. The unexpected\nresult of our study is the existence in the presence of nonlinearity of two or\neven three coexisting Gaussian solutions.",
    "arxiv_id": "quant-ph/0310195",
    "authors": [
      "Iwo Bialynicki-Birula",
      "Tomasz Sowinski"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Solutions of the Logarithmic Schrodinger Equation in a Rotating Harmonic   Trap",
    "url": "https://arxiv.org/abs/quant-ph/0310195"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "395f54fa-ab59-4238-a66e-ac2f3169c083",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}