{
  "annotation_id": "ba6bfd0c-d8ed-498f-8405-0f71f9fcac12",
  "date_created": "2026-03-02T18:01:56.183000Z",
  "date_modified": "2026-03-02T18:01:56.183000Z",
  "file_hash": "94dffa17f00708479f154241608b7d78d994a2777eb471e4ab956cf12a57e686",
  "private": false,
  "record": {
    "abstract": "A semiclassical method for the calculation of tunneling exponent in systems\nwith many degrees of freedom is developed. We find that corresponding classical\nsolution as function of energy form several branches joint by bifurcation\npoints. A regularization technique is proposed, which enables one to choose\nphysically relevant branches of solutions everywhere in the classically\nforbidden region and also in the allowed region. At relatively high energy the\nphysical branch describes tunneling via creation of a classical state, close to\nthe top of the barrier. The method is checked against exact solutions of the\nSchrodinger equation in a quantum mechanical system of two degrees of freedom.",
    "arxiv_id": "quant-ph/0301022",
    "authors": [
      "F. Bezrukov",
      "D. Levkov"
    ],
    "categories": [
      "quant-ph",
      "hep-ph",
      "hep-th"
    ],
    "title": "Transmission through a potential barrier in quantum mechanics of   multiple degrees of freedom: complex way to the top",
    "url": "https://arxiv.org/abs/quant-ph/0301022"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d848128e-69b8-4ae3-a9f4-da59b5a67905",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}