Generalised Jordan map, symplectic transformations and Dirac's representation of the 3 + 2 de Sitter group

Rabin Banerjee

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arXiv · 1902.10367

Generalised Jordan map, symplectic transformations and Dirac's representation of the 3 + 2 de Sitter group

Rabin Banerjee

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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.

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Rabin Banerjee. 2019-02-27. Generalised Jordan map, symplectic transformations and Dirac's representation of the 3 + 2 de Sitter group. https://arxiv.org/abs/1902.10367

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