Algebraic Approach and Coherent States for the Modified Dirac Oscillator in Curved Spacetime with Spin and Pseudospin Symmetries
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866929348569726976 |
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| author | Salazar-Ramírez, M. Ojeda-Guillén, D. Martínez-Nuño, J. A. Ramírez-Espinoza, R. I. |
| author_facet | Salazar-Ramírez, M. Ojeda-Guillén, D. Martínez-Nuño, J. A. Ramírez-Espinoza, R. I. |
| contents | In this article we investigate and solve exactly the modified Dirac oscillator in curved spacetime with spin and pseudospin symmetries through an algebraic approach. By focusing on the radial part of this problem, we use the Schrödinger factorization method to show that this problem possesses an SU(1; 1) symmetry. This symmetry allowed us to obtain the wave functions and their corresponding energy spectrum. From these results, we calculate the radial coherent states of the modified Dirac oscillator and their temporal evolution in the spin and pseudospin limits, respectively. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_11415 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Algebraic Approach and Coherent States for the Modified Dirac Oscillator in Curved Spacetime with Spin and Pseudospin Symmetries Salazar-Ramírez, M. Ojeda-Guillén, D. Martínez-Nuño, J. A. Ramírez-Espinoza, R. I. Quantum Physics Physics Education In this article we investigate and solve exactly the modified Dirac oscillator in curved spacetime with spin and pseudospin symmetries through an algebraic approach. By focusing on the radial part of this problem, we use the Schrödinger factorization method to show that this problem possesses an SU(1; 1) symmetry. This symmetry allowed us to obtain the wave functions and their corresponding energy spectrum. From these results, we calculate the radial coherent states of the modified Dirac oscillator and their temporal evolution in the spin and pseudospin limits, respectively. |
| title | Algebraic Approach and Coherent States for the Modified Dirac Oscillator in Curved Spacetime with Spin and Pseudospin Symmetries |
| topic | Quantum Physics Physics Education |
| url | https://arxiv.org/abs/2405.11415 |