The conservation laws in the field theoretical representation of Dirac's theory

dc.creatorLanczos, Cornelius
dc.date2005-08-01
dc.date2005-08-10
dc.date.accessioned2026-07-07T06:22:16Z
dc.date.available2026-07-07T06:22:16Z
dc.descriptionWe show that in the new description, Dirac's ``current vector'' is not related to a vector but to a tensor: the ``stress-energy tensor.'' Corresponding to Dirac's conservation law, we have the conservation laws of momentum and energy. The stress-energy tensor consists of two parts: an ``electromagnetic'' part, which has the same structure as the stress-energy tensor of the Maxwell theory, and a ``mechanical'' part, as suggested by hydrodynamics. The connection between these two tensors, which appears organically here, eliminates the well-known contradictions inherent in the dynamics of electron theory. (Editorial note: In this paper Lanczos continues to discuss his ``fundamental equation,'' from which he consistently derives Proca's equation and its stress-energy tensor.)
dc.description11 pages. Initial translation by Josef Illy and Judith Konstag Masko. Final translation and editorial notes by Andre Gsponer
dc.identifierhttps://arxiv.org/abs/physics/0508013
dc.identifierhttp://arxiv.org/abs/physics/0508013
dc.identifierZ.Phys. 57 (1929) 484-493; Z.Phys. 57 (1929) 447
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95856
dc.subjectHistory and Philosophy of Physics
dc.titleThe conservation laws in the field theoretical representation of Dirac's theory
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