{
  "annotation_id": "3cffce57-089d-430f-8fdd-e32be5b62b6a",
  "date_created": "2026-03-02T18:02:44.966000Z",
  "date_modified": "2026-03-02T18:02:44.966000Z",
  "file_hash": "753047f3a38e8bf1b1896d06f659e7cbd327834dfdfaf1a5bddc883c40a0877a",
  "private": false,
  "record": {
    "abstract": "We present a detailed discussion of a general theory of phase-space\ndistributions, introduced recently by the authors [J. Phys. A {\\bf 31}, L9\n(1998)]. This theory provides a unified phase-space formulation of quantum\nmechanics for physical systems possessing Lie-group symmetries. The concept of\ngeneralized coherent states and the method of harmonic analysis are used to\nconstruct explicitly a family of phase-space functions which are postulated to\nsatisfy the Stratonovich-Weyl correspondence with a generalized traciality\ncondition. The symbol calculus for the phase-space functions is given by means\nof the generalized twisted product. The phase-space formalism is used to study\nthe problem of the reconstruction of quantum states. In particular, we consider\nthe reconstruction method based on measurements of displaced projectors, which\ncomprises a number of recently proposed quantum-optical schemes and is also\nrelated to the standard methods of signal processing. A general group-theoretic\ndescription of this method is developed using the technique of harmonic\nexpansions on the phase space.",
    "arxiv_id": "quant-ph/9809052",
    "authors": [
      "C. Brif",
      "A. Mann"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.59.971",
    "title": "Phase-space formulation of quantum mechanics and quantum state   reconstruction for physical systems with Lie-group symmetries",
    "url": "https://arxiv.org/abs/quant-ph/9809052"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f51d0727-61cf-4568-9d47-333ebdb43cd2",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}