{
  "annotation_id": "35cb92af-54d6-4012-bd7e-bceb9c4d8d10",
  "date_created": "2026-03-02T18:01:56.514000Z",
  "date_modified": "2026-03-02T18:01:56.514000Z",
  "file_hash": "b55fcccc25bb9de66d871e1ac7eb30860b153cfe33c6ad172603c20b3a478943",
  "private": false,
  "record": {
    "abstract": "We find a set of new exact solutions of a quantum harmonic oscillator, which\ndescribes some wave-packet trains with average energy being proportional to\nboth the quantum level and classical energy of the oscillator. Center of the\nwave-packet trains may oscillate like a classical harmonic oscillator of\nfrequency $\\omega$. Width and highness of the trains may change simultaneously\nwith frequency $2 \\omega $ as an array of breathers. Under some perturbations\nthe wave-packet trains could transit between the states of different quantum\nnumbers. We demonstrate analytically and numerically that the wave-packet\ntrains can be strictly fitted to the matter-wave soliton trains observed by\nStrecher et al. and reported in Nature 417, 150(2002). When the wave-packets\nbreathe with greater amplitudes, they show periodic collapse and revival of the\nmatter-wave.",
    "arxiv_id": "quant-ph/0301122",
    "authors": [
      "Wenhua Hai",
      "Chaohong Lee",
      "Guishu Chong"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.70.053621",
    "title": "Propagation, breathing and transition of matter-wave packet trains",
    "url": "https://arxiv.org/abs/quant-ph/0301122"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2e8a657e-8ab8-47cb-9eec-e8b1eb44bfda",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}