{
  "annotation_id": "7f6e8252-c531-4b40-9ffc-68627586108d",
  "date_created": "2026-03-02T18:02:38.176000Z",
  "date_modified": "2026-03-02T18:02:38.176000Z",
  "file_hash": "26c3e60e29d608d70917ca878da284fc116ed4153e4e0c1487b3e06c5e692e5f",
  "private": false,
  "record": {
    "abstract": "Usually the only difference between relativistic quantization and standard\none is that the Lagrangian of the system under consideration should be Lorentz\ninvariant. The standard approaches are logically incomplete and produce\nsolutions with unpleasant properties: negative-energy, superluminal propagation\netc. We propose a two-projections scheme of (special) relativistic\nquantization. The first projection defines the quantization procedure (e.g. the\nBerezin-Toeplitz quantization). The second projection defines a casual\nstructure of the relativistic system (e.g. the operator of multiplication by\nthe characteristic function of the future cone). The two-projections\nquantization introduces in a natural way the existence of three types of\nrelativistic particles (with $0$, $\\frac{1}{2}$, and $1$ spins). Keywords:\nQuantization, relativity, spin, Dirac equation, Klein-Gordon equation,\nelectron, Segal-Bargmann space, Berezin-Toeplitz quantization. AMSMSC Primary:\n81P10, 83A05; Secondary: 81R30, 81S99, 81V45",
    "arxiv_id": "quant-ph/9502022",
    "authors": [
      "Vladimir V. Kisil"
    ],
    "categories": [
      "quant-ph",
      "funct-an",
      "hep-th",
      "math.FA"
    ],
    "journal_ref": "Phys.Essays 11 (1998) 69-80",
    "title": "Relativistic Quantization and Improved Equation for a Free Relativistic   Particle",
    "url": "https://arxiv.org/abs/quant-ph/9502022"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7c55c333-8397-4a43-844d-c33fb4638cac",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}