{
  "annotation_id": "66c60443-8ff6-4045-b783-23d677ab3f83",
  "date_created": "2026-03-02T18:02:34.646000Z",
  "date_modified": "2026-03-02T18:02:34.646000Z",
  "file_hash": "b1ab3fdeb5a2e58dedd3ab3e2625f0b281acc6fbf3297c91df8ab95ad5b5b9df",
  "private": false,
  "record": {
    "abstract": "In two-dimensional noncommutive space for the case of both position -\nposition and momentum - momentum noncommuting, a constraint between\nnoncommutative parameters is investigated. The related topic of guaranteeing\nBose - Einstein statistics in noncommutive space in the general case are\nelucidated: Bose - Einstein statistics is guaranteed by the deformed Heisenberg\n- Weyl algebra itself, independent of dynamics. A special character of a\ndynamical system is represented by a constraint between noncommutative\nparameters. The general feature of the constraint for any system is a direct\nproportionality between noncommutative parameters with a proportional\ncoefficient depending on characteristic parameters of the system under study.\nThe constraint for a harmonic oscillator is illustrated.",
    "arxiv_id": "quant-ph/0701166",
    "authors": [
      "Jian-Zu Zhang"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "A Constraint between Noncommutative Parameters of Quantum Theories in   Noncommutative Space",
    "url": "https://arxiv.org/abs/quant-ph/0701166"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9bcd2840-9b62-44fc-a526-c6e4343615e9",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}