On the Klein-Gordon Gürses-oscillators and pseudo-Gürses-oscillators: vorticity-energy correlations and spacetime associated degeneracies
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arXiv
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866911849228795904 |
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| author | Mustafa, Omar |
| author_facet | Mustafa, Omar |
| contents | We discuss KG-oscillators in the (1+2)-dimensional Gürses spacetime and under position-dependent mass (PDM) settings. We observe that the KG-Gürses oscillators are introduced as a byproduct of the very nature of the Gürses spacetime structure. We report that the energy levels of such KG-Gürses oscillators admit vorticity-energy correlations as well as spacetime associated degeneracies (STAD). We discuss KG-Gürses oscillators' results reported by Ahmed \cite{Ahmed1 2019} and pinpoint his improper treatment of this model so that his results should be redirected to those reported in this study. Moreover, we introduce a new set of KG pseudo-Gürses oscillators that admits isospectrality and invariance with the KG-Gürses oscillators and inherits the same vorticity-energy correlations as well as STADs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_10876 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On the Klein-Gordon Gürses-oscillators and pseudo-Gürses-oscillators: vorticity-energy correlations and spacetime associated degeneracies Mustafa, Omar General Relativity and Quantum Cosmology Mathematical Physics We discuss KG-oscillators in the (1+2)-dimensional Gürses spacetime and under position-dependent mass (PDM) settings. We observe that the KG-Gürses oscillators are introduced as a byproduct of the very nature of the Gürses spacetime structure. We report that the energy levels of such KG-Gürses oscillators admit vorticity-energy correlations as well as spacetime associated degeneracies (STAD). We discuss KG-Gürses oscillators' results reported by Ahmed \cite{Ahmed1 2019} and pinpoint his improper treatment of this model so that his results should be redirected to those reported in this study. Moreover, we introduce a new set of KG pseudo-Gürses oscillators that admits isospectrality and invariance with the KG-Gürses oscillators and inherits the same vorticity-energy correlations as well as STADs. |
| title | On the Klein-Gordon Gürses-oscillators and pseudo-Gürses-oscillators: vorticity-energy correlations and spacetime associated degeneracies |
| topic | General Relativity and Quantum Cosmology Mathematical Physics |
| url | https://arxiv.org/abs/2211.10876 |