{
  "annotation_id": "8f1cb775-9380-44c8-8cbf-07a282469ca1",
  "date_created": "2026-03-02T18:00:36.402000Z",
  "date_modified": "2026-03-02T18:00:36.402000Z",
  "file_hash": "ceb576b0429fccbf57b1d7974759d88766a408b458bcbdc6e04d4f7f8f6741b4",
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  "record": {
    "abstract": "An introductory survey on the Schroedinger uncertainty relation and its\nminimization states is presented with minimal number of formulas and some\nhistorical points. The case of the two canonical observables, position and\nmomentum, is discussed in greater detail: basic properties of the two subsets\nof minimization states (canonical squeezed and coherent states) are reviewed\nand compared. The case of two non-canonical observables is breafly outlined.\nStanfard SU(1,1) and SU(2) group-related coherent states can be defined as\nstates that minimize Schroedinger inequality for the three pairs of generators\nsimultaneously. The symmetry of the Heisenberg and Schroedinger relations is\nalso discussed, and two natural generalizations to the cases of several\nobservables and several states are noted.",
    "arxiv_id": "physics/0105035",
    "authors": [
      "D. A. Trifonov"
    ],
    "categories": [
      "physics.atom-ph",
      "cond-mat",
      "nucl-th",
      "quant-ph"
    ],
    "journal_ref": "Phys.World 24 (2001) 107-116",
    "title": "Schroedinger uncertainty relation and its minimization states",
    "url": "https://arxiv.org/abs/physics/0105035"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1bfdc8b6-54cc-46cf-afcb-12818a7ea1b8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}