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| Format: | Preprint |
| Published: |
1997
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/physics/9704008 |
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| _version_ | 1866917754439729152 |
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| author | Cotăescu, Ion I. |
| author_facet | Cotăescu, Ion I. |
| contents | A family of geometric models of quantum relativistic rotating oscillator is defined by using a set of one-parameter deformations of the static (3+1) de Sitter or anti-de Sitter metrics. It is shown that all these models lead to the usual isotropic harmonic oscillator in the non-relativistic limit, even though their relativistic behavior is different. As in the case of the (1+1) models, these will have even countable energy spectra or mixed ones, with a finite discrete sequence and a continuous part. In addition, all these spectra, except that of the pure anti-de Sitter model, will have a fine-structure, given by a rotator-like term. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_physics_9704008 |
| institution | arXiv |
| publishDate | 1997 |
| record_format | arxiv |
| spellingShingle | Geometric Models of the Quantum Relativistic Rotating Oscillator Cotăescu, Ion I. Mathematical Physics A family of geometric models of quantum relativistic rotating oscillator is defined by using a set of one-parameter deformations of the static (3+1) de Sitter or anti-de Sitter metrics. It is shown that all these models lead to the usual isotropic harmonic oscillator in the non-relativistic limit, even though their relativistic behavior is different. As in the case of the (1+1) models, these will have even countable energy spectra or mixed ones, with a finite discrete sequence and a continuous part. In addition, all these spectra, except that of the pure anti-de Sitter model, will have a fine-structure, given by a rotator-like term. |
| title | Geometric Models of the Quantum Relativistic Rotating Oscillator |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/physics/9704008 |