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Geometric models of (d+1)-dimensional relativistic rotating oscillators

Ion I. Cotăescu
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Abstract

Geometric models of quantum relativistic rotating oscillators in arbitrary dimensions are defined on backgrounds with deformed anti-de Sitter metrics. It is shown that these models are analytically solvable, deriving the formulas of the energy levels and corresponding normalized energy eigenfunctions. An important property is that all these models have the same nonrelativistic limit, namely the usual harmonic oscillator.

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Ion I. Cotăescu. 1999-10-01. Geometric models of (d+1)-dimensional relativistic rotating oscillators. https://doi.org/10.1063/1.1314894

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