Geometric Models of the Quantum Relativistic Rotating Oscillator

Details Geometric Models of the Quantum Relativistic Rotating Oscillator Geometric Models of the Quantum Relativistic Rotating Oscillator

1997-04-10

arxiv.org/abs/physics/9704008v1

Mod.Phys.Lett. A12 (1997) 685-690

Physics

Mathematical Physics

8 pages, Latex

Scientific paper

10.1142/S0217732397000716

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.

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