{
  "annotation_id": "0c0824b8-ddfe-4aad-a1ef-2e2146b7887f",
  "date_created": "2026-03-02T18:01:38.741000Z",
  "date_modified": "2026-03-02T18:01:38.741000Z",
  "file_hash": "399fe4beeda658aeeb5b7e79f92f100ea29c57a4466f1fa43d35d13b903f3583",
  "private": false,
  "record": {
    "abstract": "In the two-dimensional isotropic parabolic potential barrier $V(x, y)=V_0\n-m\\gamma^2 (x^2+y^2)/2$, though it is a model of an unstable system in quantum\nmechanics, we can obtain the stationary states corresponding to the real energy\neigenvalue $V_0$. Further, they are infinitely degenerate. For the first few\neigenstates, we will find the stationary flows round a right angle that are\nexpressed by the complex velocity potentials $W=\\pm\\gamma z^2/2$.",
    "arxiv_id": "quant-ph/0006019",
    "authors": [
      "Toshiki Shimbori",
      "Tsunehiro Kobayashi"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/33/42/311",
    "title": "Stationary Flows of the Parabolic Potential Barrier in Two Dimensions",
    "url": "https://arxiv.org/abs/quant-ph/0006019"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9026b0f4-3ada-47f7-bb92-0b58809bc66d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}