dorsal/arxiv
View SchemaGeometric Models of the Relativistic Harmonic Oscillator
| Authors | Ion I. Cot{\u}aescu |
|---|---|
| Categories | |
| ArXiv ID | physics/9704009 |
| URL | https://arxiv.org/abs/physics/9704009 |
| DOI | 10.1142/S0217751X97001833 |
| Journal | Int.J.Mod.Phys. A12 (1997) 3545-3550 |
Abstract
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.
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"abstract": "A family of relativistic geometric models is defined as a generalization of\nthe actual anti-de Sitter (1+1) model of the relativistic harmonic oscillator.\nIt is shown that all these models lead to the usual harmonic oscillator in the\nnon-relativistic limit, even though their relativistic behavior is quite\ndifferent. Among quantum models we find a set of models with countable energy\nspectra, and another one having only a finite number of energy levels and in\naddition a continuous spectrum.",
"arxiv_id": "physics/9704009",
"authors": [
"Ion I. Cot{\\u}aescu"
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"doi": "10.1142/S0217751X97001833",
"journal_ref": "Int.J.Mod.Phys. A12 (1997) 3545-3550",
"title": "Geometric Models of the Relativistic Harmonic Oscillator",
"url": "https://arxiv.org/abs/physics/9704009"
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