dorsal/arxiv
View SchemaKinematical formalism of elementary spinning particles
| Authors | Martin Rivas |
|---|---|
| Categories | |
| ArXiv ID | physics/0509131 |
| URL | https://arxiv.org/abs/physics/0509131 |
Abstract
The concept of elementary particle rests on the idea that it is a physical system with no excited states, so that all possible kinematical states of the particle are just kinematical modifications of any one of them. The way of describing the particle attributes is equivalent to describe the collection of consecutive inertial observers who describe the particle in the same kinematical state. The kinematical state space of an elementary particle is a homogeneous space of the kinematical group. By considering the largest homogeneous spaces of both, Galilei and Poincar\'e groups, it is shown how the spin structure is related to the different degrees of freedom. The formalism is quantized by means of Feynman's path integral approach and special attention is paid to the classical model which satisfies Dirac's equation. Dirac's algebra is related to the classical observables, in particular to the orientation variables. Several spin effects are also analyzed.
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"abstract": "The concept of elementary particle rests on the idea that it is a physical\nsystem with no excited states, so that all possible kinematical states of the\nparticle are just kinematical modifications of any one of them. The way of\ndescribing the particle attributes is equivalent to describe the collection of\nconsecutive inertial observers who describe the particle in the same\nkinematical state. The kinematical state space of an elementary particle is a\nhomogeneous space of the kinematical group. By considering the largest\nhomogeneous spaces of both, Galilei and Poincar\\\u0027e groups, it is shown how the\nspin structure is related to the different degrees of freedom. The formalism is\nquantized by means of Feynman\u0027s path integral approach and special attention is\npaid to the classical model which satisfies Dirac\u0027s equation. Dirac\u0027s algebra\nis related to the classical observables, in particular to the orientation\nvariables. Several spin effects are also analyzed.",
"arxiv_id": "physics/0509131",
"authors": [
"Martin Rivas"
],
"categories": [
"physics.gen-ph",
"physics.class-ph"
],
"title": "Kinematical formalism of elementary spinning particles",
"url": "https://arxiv.org/abs/physics/0509131"
},
"schema_id": "dorsal/arxiv",
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"type": "Model",
"variant": "snapshot-2026-03-01",
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