{
  "annotation_id": "776612ac-57ed-481b-8297-266ccdac9505",
  "date_created": "2026-03-02T18:02:27.630000Z",
  "date_modified": "2026-03-02T18:02:27.630000Z",
  "file_hash": "56cc51c5709f4c0d884f7bccf1f52993b9f67ab71616decafbf6b73eb33f0476",
  "private": false,
  "record": {
    "abstract": "The wave mechanics of two impenetrable hard core particles in 1-D box is\nanalyzed. Each particle in the box behaves like an independent entity\nrepresented by a {\\it macro-orbital} (a kind of pair waveform). While the\nexpectation value of their interaction, $\u003cV_{HC}(x)\u003e$, vanishes for every state\nof two particles, the expectation value of their relative separation, $\u003cx\u003e$,\nsatisfies $\u003cx\u003e \\ge \\lambda/2$ (or $q \\ge \\pi/d$, with $2d = L$ being the size\nof the box). The particles in their ground state define a close-packed\narrangement of their wave packets (with $\u003cx\u003e = \\lambda/2$, phase position\nseparation $\\Delta\\phi = 2\\pi$ and momentum $|q_o| = \\pi/d$) and experience a\nmutual repulsive force ({\\it zero point repulsion}) $f_o = h^2/2md^3$ which\nalso tries to expand the box. While the relative dynamics of two particles in\ntheir excited states represents usual collisional motion, the same in their\nground state becomes collisionless. These results have great significance in\ndetermining the correct microscopic understanding of widely different many body\nsystems.",
    "arxiv_id": "quant-ph/0603233",
    "authors": [
      "Yatendra S. Jain"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.2478/BF02475571",
    "journal_ref": "Central European J. Phys. 2(4) 2004, 709-719",
    "title": "Wave Mechanics of Two Hard Core Quantum Particles in 1-D Box",
    "url": "https://arxiv.org/abs/quant-ph/0603233"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9124c689-612c-40b1-891c-4c2e8d7efdc0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}