{
  "annotation_id": "2d3b0715-4570-4ec3-85fd-e0cd047fedba",
  "date_created": "2026-03-02T18:02:23.618000Z",
  "date_modified": "2026-03-02T18:02:23.618000Z",
  "file_hash": "b1f0d27ed59d6321b81e00ab174fe3bd5420e65ca3577345819566a442dd2e9f",
  "private": false,
  "record": {
    "abstract": "The generalized pseudospectral Legendre method is used to carry out accurate\ncalculations of eigenvalues of the spherically confined isotropic harmonic\noscillator with impenetrable boundaries. The energy of the confined state is\nfound to be equal to that of the unconfined state when the radius of\nconfinement is suitably chosen as the location of the radial nodes in the\nunconfined state. This incidental degeneracy condition is numerically shown to\nbe valid in general. Further, the full set of pairs of confined states defined\nby the quantum numbers [(n+1, \\ell) ; (n, \\ell+2)], n = 1,2,.., and with the\nradius of confinement {(2 \\ell +3)/2}^{1/2} a.u., which represents the single\nnode in the unconfined (1, \\ell) state, is found to display a constant energy\nlevel separation exactly given by twice the oscillator frequency. The results\nof similar numerical studies on the confined Davidson oscillator with\nimpenetrable boundary as well as the confined isotropic harmonic oscillator\nwith finite potential barrier are also reported .The significance of the\nnumerical results are discussed.",
    "arxiv_id": "quant-ph/0602020",
    "authors": [
      "K. D. Sen",
      "Amlan K. Roy"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/j.physleta.2006.04.039",
    "journal_ref": "Phys. Lett.A, 357, 112-119 (2006)",
    "title": "Spherically confined isotropic harmonic oscillator",
    "url": "https://arxiv.org/abs/quant-ph/0602020"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3717e9c6-c356-41e9-b653-5ed87c7f6338",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}