Non-Commutative Geometry and Measurements of Polarized Two Photon Coincidence Counts
High Energy Physics - Theory
2009-11-10 v1
Abstract
Employing Maxwell's equations as the field theory of the photon, quantum mechanical operators for spin, chirality, helicity, velocity, momentum, energy and position are derived. The photon ``Zitterbewegung'' along helical paths is explored. The resulting non-commutative geometry of photon position and the quantum version of the Pythagorean theorem is discussed. The distance between two photons in a polarized beam of given helicity is shown to have a discrete spectrum. Such a spectrum should become manifest in measurements of two photon coincidence counts. The proposed experiment is briefly described.
Keywords
Cite
@article{arxiv.hep-th/0309260,
title = {Non-Commutative Geometry and Measurements of Polarized Two Photon Coincidence Counts},
author = {S. Sivasubramanian and G. Castellani and N. Fabiano and A. Widom and J. Swain and Y. N. Srivastava and G. Vitiello},
journal= {arXiv preprint arXiv:hep-th/0309260},
year = {2009}
}
Comments
Latex, 13 pages, 3 figures