Quantum Theory of Massless Particles in Stationary Axially Symmetric Spacetimes
Quantum equations for massless particles of any spin are considered in stationary uncharged axially symmetric spacetimes. It is demonstrated that up to a normalization function, the angular wave function does not depend on the metric and practically is the same as in the Minkowskian case. The radial...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-09-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/23/9/1205 |
| _version_ | 1797519337945300992 |
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| author | Amnon Moalem Alexander Gersten |
| author_facet | Amnon Moalem Alexander Gersten |
| author_sort | Amnon Moalem |
| collection | DOAJ |
| description | Quantum equations for massless particles of any spin are considered in stationary uncharged axially symmetric spacetimes. It is demonstrated that up to a normalization function, the angular wave function does not depend on the metric and practically is the same as in the Minkowskian case. The radial wave functions satisfy second order nonhomogeneous differential equations with three nonhomogeneous terms, which depend in a unique way on time and space curvatures. In agreement with the principle of equivalence, these terms vanish locally, and the radial equations reduce to the same homogeneous equations as in Minkowski spacetime. |
| first_indexed | 2024-03-10T07:41:26Z |
| format | Article |
| id | doaj.art-415806ac3f4045a1a7a7fa75ca55dbf6 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-10T07:41:26Z |
| publishDate | 2021-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-415806ac3f4045a1a7a7fa75ca55dbf62023-11-22T12:58:17ZengMDPI AGEntropy1099-43002021-09-01239120510.3390/e23091205Quantum Theory of Massless Particles in Stationary Axially Symmetric SpacetimesAmnon Moalem0Alexander Gersten1Department of Physics, Ben Gurion University of the Negev, Beer-Sheva 84105, IsraelDepartment of Physics, Ben Gurion University of the Negev, Beer-Sheva 84105, IsraelQuantum equations for massless particles of any spin are considered in stationary uncharged axially symmetric spacetimes. It is demonstrated that up to a normalization function, the angular wave function does not depend on the metric and practically is the same as in the Minkowskian case. The radial wave functions satisfy second order nonhomogeneous differential equations with three nonhomogeneous terms, which depend in a unique way on time and space curvatures. In agreement with the principle of equivalence, these terms vanish locally, and the radial equations reduce to the same homogeneous equations as in Minkowski spacetime.https://www.mdpi.com/1099-4300/23/9/1205quantum equationsmassless particlesspacetime curvaturegravity impact |
| spellingShingle | Amnon Moalem Alexander Gersten Quantum Theory of Massless Particles in Stationary Axially Symmetric Spacetimes Entropy quantum equations massless particles spacetime curvature gravity impact |
| title | Quantum Theory of Massless Particles in Stationary Axially Symmetric Spacetimes |
| title_full | Quantum Theory of Massless Particles in Stationary Axially Symmetric Spacetimes |
| title_fullStr | Quantum Theory of Massless Particles in Stationary Axially Symmetric Spacetimes |
| title_full_unstemmed | Quantum Theory of Massless Particles in Stationary Axially Symmetric Spacetimes |
| title_short | Quantum Theory of Massless Particles in Stationary Axially Symmetric Spacetimes |
| title_sort | quantum theory of massless particles in stationary axially symmetric spacetimes |
| topic | quantum equations massless particles spacetime curvature gravity impact |
| url | https://www.mdpi.com/1099-4300/23/9/1205 |
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