{
  "annotation_id": "4c036bb9-db91-4de1-959d-91aceec0306f",
  "date_created": "2026-03-02T18:02:41.110000Z",
  "date_modified": "2026-03-02T18:02:41.110000Z",
  "file_hash": "804ffa69cda823f2a0b2f9c426ac15c92679b11d8f8cbfcde554af9f626b817c",
  "private": false,
  "record": {
    "abstract": "We re-consider the quantum mechanics of scale invariant potentials in two\ndimensions. The breaking of scale invariance by quantum effects is analyzed by\nthe explicit evaluation of the phase shift and the self-adjoint extension\nmethod. We argue that the breaking of scale invariance reported in the\nliterature for the $\\delta$(r) potential, is an example of explicit and not an\nanomaly or quantum mechanical symmetry breaking.",
    "arxiv_id": "quant-ph/9702042",
    "authors": [
      "A. Cabo",
      "J. L. Lucio",
      "H. Mercado"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1119/1.18852",
    "journal_ref": "Am.J.Phys.66:240,1998",
    "title": "On Scale Invariance and Anomalies in Quantum Mechanics",
    "url": "https://arxiv.org/abs/quant-ph/9702042"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a370e7a4-c9fb-438d-9ccd-8af434de19e4",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}