{
  "annotation_id": "11ca3f10-24a1-4cc2-83c2-8b54e7be008a",
  "date_created": "2026-03-02T18:00:01.361000Z",
  "date_modified": "2026-03-02T18:00:01.361000Z",
  "file_hash": "8a488a5747553ca2b620fb3c0c65d7c889296b1e280d98be463fa9e89f728a35",
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  "record": {
    "abstract": "The use of orthonormal wavelet basis functions for solving singular integral\nscattering equations is investigated. It is shown that these basis functions\nlead to sparse matrix equations which can be solved by iterative techniques.\nThe scaling properties of wavelets are used to derive an efficient method for\nevaluating the singular integrals. The accuracy and efficiency of the wavelet\ntransforms is demonstrated by solving the two-body T-matrix equation without\npartial wave projection. The resulting matrix equation which is characteristic\nof multiparticle integral scattering equations is found to provide an efficient\nmethod for obtaining accurate approximate solutions to the integral equation.\nThese results indicate that wavelet transforms may provide a useful tool for\nstudying few-body systems.",
    "arxiv_id": "nucl-th/0406079",
    "authors": [
      "B. M. Kessler",
      "G. L. Payne",
      "W. N. Polyzou"
    ],
    "categories": [
      "nucl-th"
    ],
    "doi": "10.1103/PhysRevC.70.034003",
    "journal_ref": "Phys.Rev. C70 (2004) 034003",
    "title": "Application of wavelets to singular integral scattering equations",
    "url": "https://arxiv.org/abs/nucl-th/0406079"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f6e4d22f-30d2-4913-a77f-4809ee14519d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}