{
  "annotation_id": "3c0857c5-e307-4cad-a1f2-483eb5cc077e",
  "date_created": "2026-03-02T18:02:34.602000Z",
  "date_modified": "2026-03-02T18:02:34.602000Z",
  "file_hash": "92aeb13c8aa3e1aa70309a725b7e1f17649949fd6249294355bfb889290b0c32",
  "private": false,
  "record": {
    "abstract": "In this paper, the energy eigenvalues of the two dimensional hydrogen atom\nare presented for the arbitrary Larmor frequencies by using the asymptotic\niteration method. We first show the energy eigenvalues for the no magnetic\nfield case analytically, and then we obtain the energy eigenvalues for the\nstrong and weak magnetic field cases within an iterative approach for $n=2-10$\nand $m=0-1$ states for several different arbitrary Larmor frequencies. The\neffect of the magnetic field on the energy eigenvalues is determined precisely.\nThe results are in excellent agreement with the findings of the other methods\nand our method works for the cases where the others fail.",
    "arxiv_id": "quant-ph/0703102",
    "authors": [
      "A. Soylu",
      "O. Bayrak",
      "I. Boztosun"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1142/S021830130600482X",
    "journal_ref": "Int. J. Mod. Phys. E 15 (2006) 1263",
    "title": "The Energy Eigenvalues of the Two Dimensional Hydrogen Atom in a   Magnetic Field",
    "url": "https://arxiv.org/abs/quant-ph/0703102"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0ae9534c-9f2b-467f-bbf8-9653e0ca3708",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}