The spinning electron: Hidrodynamical formulation, and quantum limit, of the Barut-Zanghi theory
| dc.creator | Salesi, Giovanni | |
| dc.creator | Recami, Erasmo | |
| dc.date | 1996-07-29 | |
| dc.date.accessioned | 2026-07-07T04:22:18Z | |
| dc.date.available | 2026-07-07T04:22:18Z | |
| dc.description | One of the most satisfactory pictures for spinning particles is the Barut-Zanghi (BZ) classical theory for the relativistic extended-like electron, that relates spin to zitterbewegung (zbw). The BZ motion equations constituted the starting point for recent works about spin and electron structure, co-authored by us, which adopted the Clifford algebra language. This language results to be actually suited and fruitful for a hydrodynamical re-formulation of the BZ theory. Working out, in such a way, a ``probabilistic fluid'', we are allowed to re-interpret the original classical spinors as quantum wave-functions for the electron. Thus, we can pass to ``quantize" the BZ theory employing this time the tensorial language, more popular in first-quantization. ``Quantizing'' the BZ theory, however, does not lead to the Dirac equation, but rather to a non-linear, Dirac--like equation, which can be regarded as the actual ``quantum limit'' of the BZ classical theory. Moreover, an original variational approach to the the BZ probabilistic fluid shows that it is a typical ``Weyssenhoff fluid'', while the Hamilton-Jacobi equation (linking together mass, spin and zbw frequency) appears to be nothing but a special case of de Broglie's famous energy-frequency relation. Finally, after having discussed the remarkable correlation between the gauge transformation U(1) and a general rotation on the spin plan, we clarify and comment on the two-valuedness nature of the fermionic wave-function, and on the parity and charge conjugation transformations. | |
| dc.identifier | https://arxiv.org/abs/hep-th/9607212 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9607212 | |
| dc.identifier | Found.Phys.Lett. 10 (1997) 533-546 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/54666 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | The spinning electron: Hidrodynamical formulation, and quantum limit, of the Barut-Zanghi theory | |
| dc.type | text |