{
  "annotation_id": "e6c6d2e8-daf0-4e39-abcc-97bdf432863a",
  "date_created": "2026-03-02T18:02:09.888000Z",
  "date_modified": "2026-03-02T18:02:09.888000Z",
  "file_hash": "23cf64f1805f67a5235bab8c1480b86ef67a5c19145063e9ddf9bac1d04fc736",
  "private": false,
  "record": {
    "abstract": "Basing on the relation between the Coulomb Green function and the Green\nfunction of harmonic oscillator, the algebraic representation of the\nmany-particle Coulomb Green function in the form of annihilation and creation\noperators is established. These results allow us to construct purely algebraic\nmethod for atomic calculations and thus to reduce rather complicated\ncalculations of matrix elements to algebraic procedures of transforming the\nproducts of annihilation and creation operators to a normal form. Effectiveness\nof the constructed method is demonstrated through the example problem: the\nground state of hydrogenic molecule. The calculation algorithm of this\nalgebraic approach is simple and suitable for symbolic calculation programs,\nsuch as Mathematica, that widely enlarge the application field of the Coulomb\nGreen function",
    "arxiv_id": "quant-ph/0409175",
    "authors": [
      "Nguyen Hoang Quoc",
      "Nguyen Ngoc Ty",
      "Le Van Hoang",
      "Nguyen Khac Nhap"
    ],
    "categories": [
      "quant-ph",
      "physics.atom-ph",
      "physics.chem-ph",
      "physics.comp-ph"
    ],
    "title": "Algebraic Representation of Many-Particle Coulomb Green Function and   Application in Atomic Calculations",
    "url": "https://arxiv.org/abs/quant-ph/0409175"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c136b548-09b4-4ced-b819-5c900d4c39fa",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}