{
  "annotation_id": "5bd1fcc3-f4c0-47a0-835d-d32905fb30d6",
  "date_created": "2026-03-02T18:02:23.901000Z",
  "date_modified": "2026-03-02T18:02:23.901000Z",
  "file_hash": "d0e182ad8545a56e6746b1023a8044acb65d4d7361c00c81ffddf85d0fde7e72",
  "private": false,
  "record": {
    "abstract": "In this paper we continue our development of a dimensional perturbation\ntheory (DPT) treatment of N identical particles under quantum confinement. DPT\nis a beyond-mean-field method which is applicable to both weakly and\nstrongly-interacting systems and can be used to connect both limits. In a\nprevious paper we developed the formalism for low-order energies and excitation\nfrequencies. This formalism has been applied to atoms, Bose-Einstein\ncondensates and quantum dots. One major advantage of the method is that N\nappears as a parameter in the analytical expressions for the energy and so\nresults for N up to a few thousand are easy to obtain. Other properties\nhowever, are also of interest, for example the density profile in the case of a\nBEC,and larger N results are desirable as well. The latter case requires us to\ngo to higher orders in DPT. These calculations require as input zeroth-order\nwave functions and this paper, along with a subsequent paper, addresses this\nissue.",
    "arxiv_id": "quant-ph/0603158",
    "authors": [
      "M. Dunn",
      "D. K. Watson",
      "J. G. Loeser"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "N Identical Particles Under Quantum Confinement: A Many-Body Dimensional   Perturbation Theory Approach II, The Lowest-Order Wave Function I",
    "url": "https://arxiv.org/abs/quant-ph/0603158"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "bdb86d37-660a-40fe-b382-c148cb5e2e68",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}