Geometric Models of the Quantum Relativistic Rotating Oscillator
Cot{\u}aescu, Ion I.
arXiv, 9704008 / Harvested from arXiv
Text on arXiv
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.
Publié le : 1997-04-10
Classification:  Mathematical Physics 
@article{9704008,
     author = {Cot{\u}aescu, Ion I.},
     title = {Geometric Models of the Quantum Relativistic Rotating Oscillator},
     journal = {arXiv},
     volume = {1997},
     number = {0},
     year = {1997},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9704008}
}

Cot{\u}aescu, Ion I. Geometric Models of the Quantum Relativistic Rotating Oscillator. arXiv, Tome 1997 (1997) no. 0, . http://gdmltest.u-ga.fr/item/9704008/