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On anti-de Sitter oscillators and de Sitter anti-oscillators

2014/08/03 by Ion I. Cotǎescu, Ion I. Cotaescu, Cotaescu, Ion I.
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #gr-qc #quant-ph

paper · pdf · doi:10.48550/arxiv.1408.0468

7 pages, no figures

arxiv created 2014/08/11 · arxiv updated 2014/10/07

Abstract

We revisit the principal arguments for interpreting the free quantum fields on anti-de Sitter or de Sitter spacetimes of any dimensions as oscillators or respectively anti-oscillators. In addition, we point out that there exists a chart on the de Sitter background where the free Dirac field becomes a genuine anti-oscillator in the non-relativistic limit in the sense of special relativity.

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