{
  "annotation_id": "93fd3a51-70e4-4188-b8f6-72eaaa25041a",
  "date_created": "2026-03-02T18:00:04.984000Z",
  "date_modified": "2026-03-02T18:00:04.984000Z",
  "file_hash": "61b3502aadccfd93d18bb93d58ad373bfe6004d89502c5a87f8d2b3f29c2081e",
  "private": false,
  "record": {
    "abstract": "A short survey of the semiclassical periodic orbit theory, initiated by M.\nGutzwiller and generalized by many other authors, is given. Via so-called\nsemiclassical trace formmulae, gross-shell effects in bound fermion systems can\nbe interpreted in terms of a few periodic orbits of the corresponding classical\nsystems. In integrable systems, these are usually the shortest members of the\nmost degenerate families or orbits, but in some systems also less degenerate\norbits can determine the gross-shell structure. Applications to nuclei, metal\nclusters, semiconductor nanostructures, and trapped dilute atom gases are\ndiscussed.",
    "arxiv_id": "nucl-th/0506079",
    "authors": [
      "Matthias Brack"
    ],
    "categories": [
      "nucl-th",
      "math-ph",
      "math.MP",
      "nlin.CD",
      "nlin.SI"
    ],
    "doi": "10.1088/0031-8949/2006/T125/002",
    "journal_ref": "Physica Scripta T 125 (2006) 8 -13",
    "title": "Semiclassical description of shell effects in finite fermion systems",
    "url": "https://arxiv.org/abs/nucl-th/0506079"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "625a70a0-2356-40e1-a2a8-6563eeefb0d9",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}