Classical characters of spinor fields in torsion gravity
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916480560398336 |
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| author | Fabbri, Luca |
| author_facet | Fabbri, Luca |
| contents | We consider the problem of having relativistic quantum mechanics re-formulated with hydrodynamic variables, and specifically the problem of deriving the Mathisson-Papapetrou-Dixon equations from the Dirac equation. The problem will be answered on a general manifold with torsion and gravity. We will demonstrate that when plane waves are considered the MPD equations acquire the form given in [1], but we will also see that in such a form the MPD equations become trivial. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_09651 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Classical characters of spinor fields in torsion gravity Fabbri, Luca General Relativity and Quantum Cosmology Quantum Physics We consider the problem of having relativistic quantum mechanics re-formulated with hydrodynamic variables, and specifically the problem of deriving the Mathisson-Papapetrou-Dixon equations from the Dirac equation. The problem will be answered on a general manifold with torsion and gravity. We will demonstrate that when plane waves are considered the MPD equations acquire the form given in [1], but we will also see that in such a form the MPD equations become trivial. |
| title | Classical characters of spinor fields in torsion gravity |
| topic | General Relativity and Quantum Cosmology Quantum Physics |
| url | https://arxiv.org/abs/2411.09651 |