{
  "annotation_id": "fde61f42-1c38-4ae8-b82b-deae2a53f41b",
  "date_created": "2026-03-02T18:02:06.945000Z",
  "date_modified": "2026-03-02T18:02:06.945000Z",
  "file_hash": "ba95a8b97bbefa140e1392ddfb0cb30029d655319d4044132a3196f37e408723",
  "private": false,
  "record": {
    "abstract": "We investigate the ground state properties of a family of $N$-body systems in\n1-dimension, trapped in a polynomial potential and having long range 2-body\ninteraction in addition to the inverse square potential studied in the\nCalogero-Sutherland model (CSM). We show that for such a Hamiltonian, the\nground state energy is similar to that of free fermions in a harmonic well with\na displacement that depends on the number of particles and depth of the well.\nWe obtain the ground state wave function and using random matrix results, study\nthe particle density and pair correlation function (PCF). We observe that the\nparticles are arranged in bands. Due to the presence of long range interaction,\nthe PCF shows a departure from the CSM.",
    "arxiv_id": "quant-ph/0401116",
    "authors": [
      "Saugata Ghosh"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevE.69.036118",
    "title": "Long Range Interactions in Quantum Many Body Problem in   One-Dimension:Ground State",
    "url": "https://arxiv.org/abs/quant-ph/0401116"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "241e1a6c-51e2-4e34-9e47-6347f610ecad",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}