dorsal/arxiv
View SchemaRelativistic Quantization and Improved Equation for a Free Relativistic Particle
| Authors | Vladimir V. Kisil |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9502022 |
| URL | https://arxiv.org/abs/quant-ph/9502022 |
| Journal | Phys.Essays 11 (1998) 69-80 |
Abstract
Usually the only difference between relativistic quantization and standard one is that the Lagrangian of the system under consideration should be Lorentz invariant. The standard approaches are logically incomplete and produce solutions with unpleasant properties: negative-energy, superluminal propagation etc. We propose a two-projections scheme of (special) relativistic quantization. The first projection defines the quantization procedure (e.g. the Berezin-Toeplitz quantization). The second projection defines a casual structure of the relativistic system (e.g. the operator of multiplication by the characteristic function of the future cone). The two-projections quantization introduces in a natural way the existence of three types of relativistic particles (with $0$, $\frac{1}{2}$, and $1$ spins). Keywords: Quantization, relativity, spin, Dirac equation, Klein-Gordon equation, electron, Segal-Bargmann space, Berezin-Toeplitz quantization. AMSMSC Primary: 81P10, 83A05; Secondary: 81R30, 81S99, 81V45
{
"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
}