{
  "annotation_id": "14ce2e0b-7b33-433a-a824-ab809bcd69cf",
  "date_created": "2026-03-02T18:01:55.457000Z",
  "date_modified": "2026-03-02T18:01:55.457000Z",
  "file_hash": "afcb2ca9203b0d2064290075b1e266cbed66384b8023312b3cc5731ed6116e34",
  "private": false,
  "record": {
    "abstract": "Generation of Wigner functions of Landau levels and determination of their\nsymmetries and generic properties are achieved in the autonomous framework of\ndeformation quantization. Transformation properties of diagonal Wigner\nfunctions under space inversion, time reversal and parity transformations are\nspecified and their invariance under a four-parameter subgroup of symplectic\ntransformations are established. A generating function for all Wigner functions\nis developed and this has been identified as the phase-space coherent state for\nLandau levels. Integrated forms of generating function are used in generating\nexplicit expressions of marginal probability densities on all possible two\ndimensional phase-space planes. Phase-space realization of unitary similarity\nand gauge transformations as well as some general implications for the Wigner\nfunction theory are presented.",
    "arxiv_id": "quant-ph/0211115",
    "authors": [
      "B. Demircioglu",
      "A. Vercin"
    ],
    "categories": [
      "quant-ph",
      "cond-mat",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1016/S0003-4916(03)00015-0",
    "journal_ref": "B. Demircioglu and A. Vercin, Ann. Phys. (NY) 305 (2003) 1-27",
    "title": "Autonomous generation of all Wigner functions and marginal probability   densities of Landau levels",
    "url": "https://arxiv.org/abs/quant-ph/0211115"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c0eab3d6-76d7-48b1-863c-2488a191a55c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}