Symmetries shared by the Poincar\'e Group and the Poincar\'e Sphere
Mathematical Physics
2013-07-05 v1 High Energy Physics - Theory
math.MP
Quantum Physics
Abstract
Henri Poincar\'e formulated the mathematics of Lorentz transformations, known as the Poincar\'e group. He also formulated the Poincar\'e 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 possible to address its variations in terms of the decoherence mechanism in polarization optics.
Cite
@article{arxiv.1306.2017,
title = {Symmetries shared by the Poincar\'e Group and the Poincar\'e Sphere},
author = {Young S. Kim and Marilyn E. Noz},
journal= {arXiv preprint arXiv:1306.2017},
year = {2013}
}
Comments
Latex 20 pages, 2 figures, to be published in the Symmetry