{
  "annotation_id": "662a931b-71be-4690-82e8-4d49fef095ca",
  "date_created": "2026-03-02T18:01:11.459000Z",
  "date_modified": "2026-03-02T18:01:11.459000Z",
  "file_hash": "eade435710e525792c531e57650bd5f3c1747389eff1051a046a866ec45fc023",
  "private": false,
  "record": {
    "abstract": "A first detailed study of the ground state of the H$_3^+$ molecular ion in\nlinear configuration, parallel to a magnetic field direction, and its low-lying\n$\\Si,\\Pi,\\De$ states is carried out for magnetic fields $B=0-4.414 \\times\n10^{13} $G in the Born-Oppenheimer approximation. The variational method is\nemployed with a single trial function which includes electronic correlation in\nthe form $\\exp{(\\ga r_{12})}$, where $\\ga$ is a variational parameter. It is\nshown that the quantum numbers of the state of the lowest total energy (ground\nstate) depend on the magnetic field strength. The ground state evolves from the\nspin-singlet ${}^1\\Si_g$ state for weak magnetic fields $B \\lesssim 5 \\times\n10^{8} $G to a weakly-bound spin-triplet ${}^3\\Si_u$ state for intermediate\nfields and, eventually, to a spin-triplet $^3\\Pi_u$ state for $5 \\times 10^{10}\n\\lesssim B \\lesssim 4.414 \\times 10^{13} $G. Local stability of the linear\nparallel configuration with respect to possible small deviations is checked.",
    "arxiv_id": "physics/0606083",
    "authors": [
      "A. V. Turbiner",
      "N. L. Guevara",
      "J. C. L\u00f3pez Vieyra"
    ],
    "categories": [
      "physics.atom-ph",
      "astro-ph",
      "cond-mat.str-el",
      "physics.chem-ph"
    ],
    "doi": "10.1103/PhysRevA.75.053408",
    "title": "The $H_3^+$ molecular ion in a magnetic field in linear parallel   configuration",
    "url": "https://arxiv.org/abs/physics/0606083"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "793417ea-189c-416a-850a-6aba73b68f5b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}