Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
1997
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/physics/9704008 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Table of 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.