Abstract
Starting from the Lagrangian function which is associated with the Dirac equation in a curved space-time, we deduce the canonical stress-energy tensor, the symmetrized stress-energy tensor, and also the third order intrinsic angular momentum tensor and its dual vector, the spin vector. Pursuing then with an analogy between the quantum and classical formalisms, it becomes possible to associate the symmetrized stress-energy tensor with a hydrodynamical symmetrical tensor from which the evolution equations of velocity and spin are deduced for each point of the `extended` electron. A particular choice of the corrective term due to the spin in the expression of the volume density of four-momentum allows these equations to be reduced to those of Bargmann - Michel - Telegdi. This result constitutes the experimental proof of our theory.
Citation Formats
Paillere, P.
Investigations on Dirac field in Riemann geometry; Investigations sur le champ de Dirac en geometrie de Riemann.
France: N. p.,
1992.
Web.
Paillere, P.
Investigations on Dirac field in Riemann geometry; Investigations sur le champ de Dirac en geometrie de Riemann.
France.
Paillere, P.
1992.
"Investigations on Dirac field in Riemann geometry; Investigations sur le champ de Dirac en geometrie de Riemann."
France.
@misc{etde_10129603,
title = {Investigations on Dirac field in Riemann geometry; Investigations sur le champ de Dirac en geometrie de Riemann}
author = {Paillere, P}
abstractNote = {Starting from the Lagrangian function which is associated with the Dirac equation in a curved space-time, we deduce the canonical stress-energy tensor, the symmetrized stress-energy tensor, and also the third order intrinsic angular momentum tensor and its dual vector, the spin vector. Pursuing then with an analogy between the quantum and classical formalisms, it becomes possible to associate the symmetrized stress-energy tensor with a hydrodynamical symmetrical tensor from which the evolution equations of velocity and spin are deduced for each point of the `extended` electron. A particular choice of the corrective term due to the spin in the expression of the volume density of four-momentum allows these equations to be reduced to those of Bargmann - Michel - Telegdi. This result constitutes the experimental proof of our theory.}
place = {France}
year = {1992}
month = {Dec}
}
title = {Investigations on Dirac field in Riemann geometry; Investigations sur le champ de Dirac en geometrie de Riemann}
author = {Paillere, P}
abstractNote = {Starting from the Lagrangian function which is associated with the Dirac equation in a curved space-time, we deduce the canonical stress-energy tensor, the symmetrized stress-energy tensor, and also the third order intrinsic angular momentum tensor and its dual vector, the spin vector. Pursuing then with an analogy between the quantum and classical formalisms, it becomes possible to associate the symmetrized stress-energy tensor with a hydrodynamical symmetrical tensor from which the evolution equations of velocity and spin are deduced for each point of the `extended` electron. A particular choice of the corrective term due to the spin in the expression of the volume density of four-momentum allows these equations to be reduced to those of Bargmann - Michel - Telegdi. This result constitutes the experimental proof of our theory.}
place = {France}
year = {1992}
month = {Dec}
}