{
  "annotation_id": "852cdb4b-744f-437e-a668-78318b7f25d7",
  "date_created": "2026-03-02T18:02:16.727000Z",
  "date_modified": "2026-03-02T18:02:16.727000Z",
  "file_hash": "d0390ca68cb1da357023a88501dd5812faa1cd08d9f44998e799e9efc81edd94",
  "private": false,
  "record": {
    "abstract": "String theory, quantum geometry, loop quantum gravity and black hole physics\nall indicate the existence of a minimal observable length on the order of\nPlanck length. This feature leads to a modification of Heisenberg uncertainty\nprinciple. Such a modified Heisenberg uncertainty principle is referred as\ngravitational uncertainty principle(GUP) in literatures. This proposal has some\nnovel implications on various domains of theoretical physics. Here, we study\nsome consequences of GUP in the spirit of Quantum mechanics. We consider two\nproblem: a particle in an one-dimensional box and momentum space wave function\nfor a \"free particle\". In each case we will solve corresponding perturbational\nequations and compare the results with ordinary solutions.",
    "arxiv_id": "quant-ph/0507018",
    "authors": [
      "Kourosh Nozari",
      "Tahereh Azizi"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1007/s10714-006-0262-9",
    "journal_ref": "Gen.Rel.Grav.38:735-742,2006",
    "title": "Some Aspects of Minimal Length Quantum Mechanics",
    "url": "https://arxiv.org/abs/quant-ph/0507018"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "33ef2803-85c1-41d4-a62e-50f7530d151a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}