{
  "annotation_id": "bb5151cf-9751-4a6e-bad0-222d6a9c0126",
  "date_created": "2026-03-02T18:01:18.439000Z",
  "date_modified": "2026-03-02T18:01:18.439000Z",
  "file_hash": "894221cd595fbd160422af2520d84632a74c8a44ec454d9148976ea95137d056",
  "private": false,
  "record": {
    "abstract": "We prove the existence of a new Hamiltonian that can be used to study\nstrongly correlated matter, which consists of the total energy at temperature\nequals zero (E_0) and the ionization energy (\\xi) as eigenvalues. We show that\nthe existence of this total energy eigenvalue, E_0 \\pm \\xi, does not violate\nthe Coulombian atomic system. Since there is no equivalent known Hamilton\noperator that corresponds quantitatively to \\xi, we employ the screened Coulomb\npotential operator, which is a function of this ionization energy to\nanalytically calculate the screening parameter (\\sigma) of a neutral Helium\natom in the ground state. In addition, we also show that the energy level\nsplitting due to spin-orbit coupling is inversely proportional to \\xi\neigenvalue.",
    "arxiv_id": "physics/0702232",
    "authors": [
      "Andrew Das Arulsamy"
    ],
    "categories": [
      "physics.gen-ph"
    ],
    "doi": "10.1007/s12043-010-0054-3",
    "journal_ref": "Pramana J. Phys. 74 (2010) 615",
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "Many-body Hamiltonian with screening parameter and ionization energy",
    "url": "https://arxiv.org/abs/physics/0702232"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b5f054f9-176c-4424-8511-32ad4f066692",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}