Fermionic fields in a four-dimensional Bonnor-Melvin-Lambda space-time
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917949819846656 |
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| author | Ahmed, Faizuddin Candemir, Nuray Bouzenada, Abdelmalek |
| author_facet | Ahmed, Faizuddin Candemir, Nuray Bouzenada, Abdelmalek |
| contents | In this paper, we investigate how the gravitational field generated by a four-dimensional electrovacuum cosmological space-time influences the dynamics of fermionic fields governed by the Dirac equation, while also considering the effects of topology. We derive the radial wave equation corresponding to the relativistic Dirac equation and subsequently obtain analytical solutions for the energy levels and wave functions of the fermionic field within our chosen framework. Our analysis reveals that various parameters, including geometric topology, the cosmological constant, and quantum numbers, play significant roles in determining the eigenvalue solution of the quantum particles. Specifically, we demonstrate that the presence of the topological parameter disrupts the degeneracy of the energy spectrum. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_06675 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fermionic fields in a four-dimensional Bonnor-Melvin-Lambda space-time Ahmed, Faizuddin Candemir, Nuray Bouzenada, Abdelmalek General Relativity and Quantum Cosmology Quantum Physics In this paper, we investigate how the gravitational field generated by a four-dimensional electrovacuum cosmological space-time influences the dynamics of fermionic fields governed by the Dirac equation, while also considering the effects of topology. We derive the radial wave equation corresponding to the relativistic Dirac equation and subsequently obtain analytical solutions for the energy levels and wave functions of the fermionic field within our chosen framework. Our analysis reveals that various parameters, including geometric topology, the cosmological constant, and quantum numbers, play significant roles in determining the eigenvalue solution of the quantum particles. Specifically, we demonstrate that the presence of the topological parameter disrupts the degeneracy of the energy spectrum. |
| title | Fermionic fields in a four-dimensional Bonnor-Melvin-Lambda space-time |
| topic | General Relativity and Quantum Cosmology Quantum Physics |
| url | https://arxiv.org/abs/2503.06675 |