Symmetries shared by the Poincaré group and the Poincaré sphere
type: Item
instance of: scholarly article
title: Symmetries shared by the Poincaré group and the Poincaré sphere
zbMATH Open document ID: 1351.22010
author: Young S. Kim
author: Marilyn E. Noz
published in: Symmetry
publication date: 2016-12-09T00:00:00Z
full work available at URL: https://arxiv.org/abs/1306.2017
review text: Summary: Henri Poincaré formulated the mathematics of Lorentz transformations, known as the Poincaré group. He also formulated the Poincaré sphere for polarization optics. It is shown that these two mathematical instruments can be derived from the two-by-two representations of the Lorentz group. Wigner's little groups for internal space-time symmetries are studied in detail. While the particle mass is a Lorentz-invariant quantity, it is shown to be possible to address its variations in terms of the decoherence mechanism in polarization optics.
Mathematics Subject Classification ID: 22E70
Mathematics Subject Classification ID: 83A05
zbMATH DE Number: 6662280
zbMATH Keywords: Poincaré group
zbMATH Keywords: Poincaré sphere
zbMATH Keywords: Wigner's little groups
zbMATH Keywords: particle mass
zbMATH Keywords: decoherence mechanism
zbMATH Keywords: two-by-two representations
zbMATH Keywords: Lorentz group
MaRDI profile type: Publication
OpenAlex ID: W2044161002
arXiv ID: 1306.2017
cites work: One analytic form for four branches of theABCDmatrix
cites work: Lorentz Group in Ray and Polarization Optics
cites work: de Sitter group as a symmetry for optical decoherence
DOI: 10.3390/SYM5030233
description: scientific article; zbMATH DE number 6662280