dorsal/arxiv
View SchemaSpin and Electron Structure
| Authors | Matej Pavsic, Erasmo Recami, Waldyr A. Rodrigues Jr., G. Daniele Maccarrone, Fabio Raciti, Giovanni Salesi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0203090 |
| URL | https://arxiv.org/abs/quant-ph/0203090 |
| DOI | 10.1016/0370-2693(93)91543-V |
| Journal | Phys.Lett. B318 (1993) 481 |
Abstract
The recent literature shows a renewed interest, with various independent approaches, in the classical models for spin. Considering the possible interest of those results, at least for the electron case, we purpose in this paper to explore their physical and mathematical meaning, by the natural and powerful language of Clifford algebras (which, incidentally, will allow us to unify those different approaches). In such models, the ordinary electron is in general associated to the mean motion of a point--like "constituent" Q, whose trajectory is a cylindrical helix. We find, in particular, that the object Q obeys a new, non-linear Dirac--like equation, such that --when averaging over an internal cycle (which corresponds to a linearization)-- it transforms into the ordinary Dirac equation (valid, of course, for the electron as a whole).
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"abstract": "The recent literature shows a renewed interest, with various independent\napproaches, in the classical models for spin. Considering the possible interest\nof those results, at least for the electron case, we purpose in this paper to\nexplore their physical and mathematical meaning, by the natural and powerful\nlanguage of Clifford algebras (which, incidentally, will allow us to unify\nthose different approaches). In such models, the ordinary electron is in\ngeneral associated to the mean motion of a point--like \"constituent\" Q, whose\ntrajectory is a cylindrical helix. We find, in particular, that the object Q\nobeys a new, non-linear Dirac--like equation, such that --when averaging over\nan internal cycle (which corresponds to a linearization)-- it transforms into\nthe ordinary Dirac equation (valid, of course, for the electron as a whole).",
"arxiv_id": "quant-ph/0203090",
"authors": [
"Matej Pavsic",
"Erasmo Recami",
"Waldyr A. Rodrigues Jr.",
"G. Daniele Maccarrone",
"Fabio Raciti",
"Giovanni Salesi"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/0370-2693(93)91543-V",
"journal_ref": "Phys.Lett. B318 (1993) 481",
"title": "Spin and Electron Structure",
"url": "https://arxiv.org/abs/quant-ph/0203090"
},
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