{
  "annotation_id": "8d6b1f35-99ea-408e-8185-7e150ac604a7",
  "date_created": "2026-03-02T18:02:37.843000Z",
  "date_modified": "2026-03-02T18:02:37.843000Z",
  "file_hash": "3d4492bb9b06634bf40226ff579b5ebd0dce811b912db6e208aea144a283667c",
  "private": false,
  "record": {
    "abstract": "We outline a remarkably efficient method for generating solutions to quantum\nanharmonic oscillators with an x^{2M} potential. We solve the Schroedinger\nequation in terms of a free parameter which is then tuned to give the correct\nboundary condition by generating a power series expansion of the wavefunction\nin x and applying a modified Borel resummation technique to obtain the large x\nbehaviour. The process allows us to calculate energy eigenvalues to an\narbitrary level of accuracy. High degrees of precision are achieved even with\nmodest computing power. Our technique extends to all levels of excitation and\nproduces the correct solution to the double well oscillators even though they\nare dominated by non-perturbative effects.",
    "arxiv_id": "quant-ph/0703262",
    "authors": [
      "David Leonard",
      "Paul Mansfield"
    ],
    "categories": [
      "quant-ph",
      "hep-th"
    ],
    "doi": "10.1088/1751-8113/40/33/020",
    "journal_ref": "J.Phys.A40:10291-10300,2007",
    "title": "Solving the Anharmonic Oscillator: Tuning the Boundary Condition",
    "url": "https://arxiv.org/abs/quant-ph/0703262"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4f25aefe-0db4-4122-b110-a7ac5ef2f8d0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}