{
  "annotation_id": "e6ed385a-db51-430e-a57c-790d740e7074",
  "date_created": "2026-03-02T18:02:37.952000Z",
  "date_modified": "2026-03-02T18:02:37.952000Z",
  "file_hash": "9316e4351feb7f39c2d91dd27b0419ab39bc008aa4a128364a430160048f3251",
  "private": false,
  "record": {
    "abstract": "Starting with the generally well accepted opinion that quantizing an\narbitrary Hamiltonian system involves picking out some additional structure on\nthe classical phase space (the {\\sl shadow} of quantum mechanics in the\nclassical theory), we describe classical as well as quantum dynamics as a\npurely geometrical effect by introducing a {\\sl phase space metric structure}.\nThis produces an ${\\cal O}(\\hbar)$ modification of the classical equations of\nmotion reducing at the same time the quantization of an arbitrary Hamiltonian\nsystem to standard procedures. Our analysis is carried out in analogy with the\nadiabatic motion of a charged particle in a curved background (the additional\nmetric structure) under the influence of a universal magnetic field (the\nclassical symplectic structure). This allows one to picture dynamics in an\nunusual way, and reveals a dynamical mechanism that produces the selection of\nthe right set of physical quantum states.",
    "arxiv_id": "quant-ph/9609004",
    "authors": [
      "J. R. Klauder",
      "P. Maraner"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1006/aphy.1996.5631",
    "journal_ref": "Annals Phys. 253 (1997) 356-375",
    "title": "Dynamics as Shadow of Phase Space Geometry",
    "url": "https://arxiv.org/abs/quant-ph/9609004"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b6ed1b31-efd1-41d4-8351-3b16906c6ca2",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}