Curved-spacetime dynamics of spin-$\tfrac{1}{2}$ particles in superposed states from a WKB approximation of the Dirac equation
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866917770673782784 |
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| author | Hammad, F. Simard, M. Saadati, R. Landry, A. |
| author_facet | Hammad, F. Simard, M. Saadati, R. Landry, A. |
| contents | We investigate the dynamics of spin-$\tfrac{1}{2}$ particles that are freely propagating in superposed states in curved spacetime. We first make use of a Wentzel-Kramers-Brillouin approximation of the Dirac equation in curved spacetime to extract the corresponding Mathisson-Papapetrou-Dixon equations that describe the deviation from geodesic motion as well as the spin precession of such particles. We then discuss, in light of our results, the case of flavour neutrinos which are, by nature, a superposition of mass eigenstates. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_07139 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Curved-spacetime dynamics of spin-$\tfrac{1}{2}$ particles in superposed states from a WKB approximation of the Dirac equation Hammad, F. Simard, M. Saadati, R. Landry, A. High Energy Physics - Phenomenology General Relativity and Quantum Cosmology We investigate the dynamics of spin-$\tfrac{1}{2}$ particles that are freely propagating in superposed states in curved spacetime. We first make use of a Wentzel-Kramers-Brillouin approximation of the Dirac equation in curved spacetime to extract the corresponding Mathisson-Papapetrou-Dixon equations that describe the deviation from geodesic motion as well as the spin precession of such particles. We then discuss, in light of our results, the case of flavour neutrinos which are, by nature, a superposition of mass eigenstates. |
| title | Curved-spacetime dynamics of spin-$\tfrac{1}{2}$ particles in superposed states from a WKB approximation of the Dirac equation |
| topic | High Energy Physics - Phenomenology General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2407.07139 |