EPJ Web of Conferences
Volume 78, 2014Wigner 111 – Colourful & Deep Scientific Symposium
|Number of page(s)||8|
|Section||Wigner’s Heritage (plenary talks)|
|Published online||25 September 2014|
Poincaré Sphere and a Unified Picture of Wigner’s Little Groups
Department of Physics, University of Maryland, College Park, Maryland, 20742, U.S.A.
a e-mail: firstname.lastname@example.org
Published online: 25 September 2014
It is noted that the Poincaré sphere for polarization optics contains the symmetries of the Lorentz group. The sphere is thus capable of describing the internal space-time symmetries dictated by Wigner’s little groups. For massive particles, the little group is like the three-dimensional rotation group, while it is like the two-dimensional Euclidean group for massless particles. It is shown that the Poincaré sphere, in addition, has a symmetry parameter corresponding to reducing the particle mass from a positive value to zero. The Poincaré sphere thus the gives one unified picture of Wigner’s little groups for massive and massless particles.
© Owned by the authors, published by EDP Sciences, 2014
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.