dorsal/arxiv
View SchemaThe conservation laws in the field theoretical representation of Dirac's theory
| Authors | Cornelius Lanczos |
|---|---|
| Categories | |
| ArXiv ID | physics/0508013 |
| URL | https://arxiv.org/abs/physics/0508013 |
| Journal | Z.Phys. 57 (1929) 484-493; Z.Phys. 57 (1929) 447 |
Abstract
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.)
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"abstract": "We show that in the new description, Dirac\u0027s ``current vector\u0027\u0027 is not\nrelated to a vector but to a tensor: the ``stress-energy tensor.\u0027\u0027\nCorresponding to Dirac\u0027s conservation law, we have the conservation laws of\nmomentum and energy. The stress-energy tensor consists of two parts: an\n``electromagnetic\u0027\u0027 part, which has the same structure as the stress-energy\ntensor of the Maxwell theory, and a ``mechanical\u0027\u0027 part, as suggested by\nhydrodynamics. The connection between these two tensors, which appears\norganically here, eliminates the well-known contradictions inherent in the\ndynamics of electron theory. (Editorial note: In this paper Lanczos continues\nto discuss his ``fundamental equation,\u0027\u0027 from which he consistently derives\nProca\u0027s equation and its stress-energy tensor.)",
"arxiv_id": "physics/0508013",
"authors": [
"Cornelius Lanczos"
],
"categories": [
"physics.hist-ph"
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"journal_ref": "Z.Phys. 57 (1929) 484-493; Z.Phys. 57 (1929) 447",
"title": "The conservation laws in the field theoretical representation of Dirac\u0027s theory",
"url": "https://arxiv.org/abs/physics/0508013"
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