{
  "annotation_id": "b900ef9b-41ff-41cb-b588-4fbe4e3ce5e6",
  "date_created": "2026-03-02T18:01:59.544000Z",
  "date_modified": "2026-03-02T18:01:59.544000Z",
  "file_hash": "e371d020984372d77822c904cf309fa73d83877f5f978121c962ee919e262924",
  "private": false,
  "record": {
    "abstract": "Three-body Schroedinger equation is studied in one dimension. Its two-body\ninteractions are assumed composed of the long-range attraction (dominated by\nthe L-th-power potential) in superposition with a short-range repulsion\n(dominated by the (-K)-th-power core) plus further subdominant power-law\ncomponents if necessary. This unsolvable and non-separable generalization of\nCalogero model (which is a separable and solvable exception at L = K = 2) is\npresented in polar Jacobi coordinates. We derive a set of trigonometric\nidentities for the potentials which generalizes the well known K=2 identity of\nCalogero to all integers. This enables us to write down the related partial\ndifferential Schroedinger equation in an amazingly compact form. As a\nconsequence, we are able to show that all these models become separable and\nsolvable in the limit of strong repulsion.",
    "arxiv_id": "quant-ph/0307239",
    "authors": [
      "Miloslav Znojil"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/36/38/310",
    "journal_ref": "J. Phys. A: Math. Gen. 36 (2003) 9929-9941",
    "title": "Low-lying spectra in anharmonic three-body oscillators with a strong   short-range repulsion",
    "url": "https://arxiv.org/abs/quant-ph/0307239"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "601deb89-e956-4633-bf74-a7f5e0a4f176",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}