{
  "annotation_id": "11bc6e83-c988-43f8-a60e-78c1e00a364b",
  "date_created": "2026-03-02T18:01:24.600000Z",
  "date_modified": "2026-03-02T18:01:24.600000Z",
  "file_hash": "1814a494338a93c07cd9be4fb7ee9e0273f95e06625995445b94b4415decd92e",
  "private": false,
  "record": {
    "abstract": "When the Hamiltonian of a system is represented by a finite matrix,\nconstructed from a discrete basis, the matrix representation of the resolvent\ncovers only one branch. We show how all branches can be specified by the phase\nof a complex unit of time. This permits the Hamiltonian matrix to be\nconstructed on a real basis; the only duty of the basis is to span the\ndynamical region of space, without regard for the particular asymptotic\nboundary conditions that pertain to the problem of interest.",
    "arxiv_id": "physics/9909028",
    "authors": [
      "Robin Shakeshaft",
      "Bernard Piraux"
    ],
    "categories": [
      "physics.atom-ph"
    ],
    "doi": "10.1103/PhysRevA.62.062705",
    "title": "Representation of a complex Green function on a real basis: I. General   Theory",
    "url": "https://arxiv.org/abs/physics/9909028"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "6dc8d535-e5b8-4d23-830b-5bd8a2d6837a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}