Discrete O (1,4) Transformations And New Scalar Quantum Modes On The De Sitter Spacetime
| Oct 05, 2015
Published Online: Oct 05, 2015
Page range: 38 - 42
Received: Dec 28, 2011
Accepted: Jan 19, 2012
DOI: https://doi.org/10.1515/awutp-2015-0006
Keywords
© Ion I. Cotăescu
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
It is shown that the isometry group of the de Sitter spacetime includes two different three-dimensional Abelian subgroups which transform between themselves through a discrete isometry corresponding to the time reversal in the five-dimensional Minkowski spacetime embedding the de Sitter one. The eigenfunctions of the generators of these Abelian subgroups form two different sets of quantum modes correlated by the mentioned isometry.