{
  "annotation_id": "657de0fd-4c56-4b20-8c90-f5256baa8d9a",
  "date_created": "2026-03-02T18:02:37.498000Z",
  "date_modified": "2026-03-02T18:02:37.498000Z",
  "file_hash": "aba3f54cc68822a12efdee8a6af7cdc4797c614d4e981ff8f128cbe53009396e",
  "private": false,
  "record": {
    "abstract": "We consider a charged spinless quantum particle confined to a graph\nconsisting of a loop to which a halfline lead is attached; this system is\nplaced into a homogeneous magnetic field perpendicular to the loop plane. We\nderive the reflection amplitude and show that there is an infinite ladder of\nresonances; analyzing the resonance pole trajectories we show that half of them\nturn into true embedded eigenvalues provided the flux through the loop is an\ninteger or halfinteger multiple of the flux unit $hc/e$. We also describe a\ngeneral method to solve the scattering problem on graphs of which the present\nmodel is a simple particular case. Finally, we discuss ways in which a state\nlocalized initially at the loop decays.",
    "arxiv_id": "quant-ph/9701007",
    "authors": [
      "Pavel Exner"
    ],
    "categories": [
      "quant-ph",
      "cond-mat",
      "funct-an",
      "math.FA"
    ],
    "doi": "10.1007/BF02550448",
    "journal_ref": "Found.Phys. 27 (1997) 171-190",
    "title": "Magnetoresonances on a lasso graph",
    "url": "https://arxiv.org/abs/quant-ph/9701007"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0678a1d7-de14-4109-a115-101dac3eba96",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}