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|Type:||Artigo de periódico|
|Title:||Hydrodynamical reformulation and quantum limit of the Barut-Zanghi theory|
|Abstract:||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 for a hydrodynamical reformulation of the BZ theory. Working out a "probabilistic fluid," we are allowed to reinterpret the original classical spinors as quantum wave-functions for the electron. We can pass to "quantize" the BZ theory: by 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 nonlinear, Dirac-like equation, which can be regarded as the actual "quantum limit" of the BZ classical theory. Moreover, a new variational approach to the BZ probabilistic fluid shows that it is a typical "Weyssenhoff fluid," while the Hamilton Jacobi equation (linking mass, spin, and zbw frequency together) appears to be nothing but a special case of the de Broglie energy-frequency relation. Finally, after having discussed the remarkable relation existing between the gauge transformation U(1) and a general rotation on the spin plane, we clarify and comment on the two-valuedness nature of the fermionic wave-function, as well as on the parity and charge conjugation transformations.|
|Editor:||Plenum Publ Corp|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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