{
  "annotation_id": "9fb6f839-1b29-4e2e-a62f-c135aab3d971",
  "date_created": "2026-03-02T18:00:31.754000Z",
  "date_modified": "2026-03-02T18:00:31.754000Z",
  "file_hash": "667bfbfc46e1419fbaf5820b817c6e61ffc65e6ad4fdbb78c47699982a0559aa",
  "private": false,
  "record": {
    "abstract": "A new variational basis with well-behaved local approximation properties and\nmultiple output is proposed for Coulomb systems. The trial function has proper\nbehaviour at all Coulomb centres. Nonlinear asymptotic parameters are\nintroduced softly: they do not destroy the self-optimized local behaviour of\nthe wave function at vanishing interparticle distances. The diagonalization of\nthe Hamiltonian on a finite Hilbert subspace gives a number of meaningful\neigenvalues. Thus together with the ground state some excited states are also\nreliably approximated. For three-body systems all matrix elements are\nanalytically obtainable up to rational functions of asymptotic parameters. The\nfeasibility of the new basis usage has been proved by a pilot computer algebra\ncalculation. The negative sign of an electron pair local energy at their\nCoulomb centre has been revealed.\n  PACS number: 31.15.Pf",
    "arxiv_id": "physics/0009082",
    "authors": [
      "Vladimir S. Vanyashin"
    ],
    "categories": [
      "physics.atom-ph"
    ],
    "title": "Approximation properties of basis functions in variational three-body   problem",
    "url": "https://arxiv.org/abs/physics/0009082"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d7c49b63-4408-47bb-876a-28009d49f647",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}