Geometric Models of the Relativistic Harmonic Oscillator
Cot{\u}aescu, Ion I.
arXiv, 9704009 / Harvested from arXiv
Text on arXiv
A family of relativistic geometric models is defined as a generalization of the actual anti-de Sitter (1+1) model of the relativistic harmonic oscillator. It is shown that all these models lead to the usual harmonic oscillator in the non-relativistic limit, even though their relativistic behavior is quite different. Among quantum models we find a set of models with countable energy spectra, and another one having only a finite number of energy levels and in addition a continuous spectrum.
Publié le : 1997-04-10
Classification:  Mathematical Physics 
@article{9704009,
     author = {Cot{\u}aescu, Ion I.},
     title = {Geometric Models of the Relativistic Harmonic Oscillator},
     journal = {arXiv},
     volume = {1997},
     number = {0},
     year = {1997},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9704009}
}

Cot{\u}aescu, Ion I. Geometric Models of the Relativistic Harmonic Oscillator. arXiv, Tome 1997 (1997) no. 0, . http://gdmltest.u-ga.fr/item/9704009/