{
  "annotation_id": "de231e9d-66d0-43c2-b798-4f0d92e71f89",
  "date_created": "2026-03-02T18:02:45.026000Z",
  "date_modified": "2026-03-02T18:02:45.026000Z",
  "file_hash": "0593133c6a72851dcca58610840ab2a36abd5cbc60ce2a4882ff020dd4c69f5d",
  "private": false,
  "record": {
    "abstract": "We introduce a general class of generating functionals for the calculation of\nquantum-mechanical expectation values of arbitrary functionals of fluctuating\npaths with fixed end points in configuration or momentum space. The generating\nfunctionals are calculated explicitly for harmonic oscillators with\ntime-dependent frequency, and used to derive a smearing formulas for\ncorrelation functions of polynomial and nonpolynomials functions of\ntime-dependent positions and momenta. These formulas summarize the effect of\nthermal and quantum fluctuations, and serve to derive generalized Wick rules\nand Feynman diagrams for perturbation expansions of nonpolynomial interactions.",
    "arxiv_id": "quant-ph/9902051",
    "authors": [
      "Hagen Kleinert",
      "Axel Pelster",
      "Michael Bachmann"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevE.60.2510",
    "journal_ref": "Phys.Rev. E60 (1999) 2510",
    "title": "Generating Functionals for Harmonic Expectation Values of Paths with   Fixed End Points. Feynman Diagrams for Nonpolynomial Interactions",
    "url": "https://arxiv.org/abs/quant-ph/9902051"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8fc3bc45-5961-458e-941a-b0aba9e7d1d1",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}