Generalised Jordan map, symplectic transformations and Dirac's representation of the 3 + 2 de Sitter group
Quantum Physics
2019-03-12 v2 High Energy Physics - Theory
Abstract
In his 1963 paper, Dirac [1] gave `A Remarkable Representation of the 3 + 2 de- Sitter Group'. We reproduce this representation using a generalised Jordan map which is motivated by the infinitesimal symplectic transformations related to the four dimensional symplectic group Sp(4). A physical picture of Dirac's representation is also discussed.
Keywords
Cite
@article{arxiv.1902.10367,
title = {Generalised Jordan map, symplectic transformations and Dirac's representation of the 3 + 2 de Sitter group},
author = {Rabin Banerjee},
journal= {arXiv preprint arXiv:1902.10367},
year = {2019}
}
Comments
16 pages enlarged version with more details