The conservation laws in the field theoretical representation of Dirac's theory
Abstract
Description
We 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.)
11 pages. Initial translation by Josef Illy and Judith Konstag Masko. Final translation and editorial notes by Andre Gsponer
11 pages. Initial translation by Josef Illy and Judith Konstag Masko. Final translation and editorial notes by Andre Gsponer