Wigner Rotations and Iwasawa Decompositions in Polarization Optics

Details Wigner Rotations and Iwasawa Decompositions in Polarization Optics Wigner Rotations and Iwasawa Decompositions in Polarization Optics

2004-08-30

arxiv.org/abs/quant-ph/0408181v1

Phys.Rev. E60 (1999) 1036-1041

Physics

Quantum Physics

LaTex 12 pages, two figures

Scientific paper

10.1103/PhysRevE.60.1036

Wigner rotations and Iwasawa decompositions are manifestations of the internal space-time symmetries of massive and massless particles, respectively. It is shown to be possible to produce combinations of optical filters which exhibit transformations corresponding to Wigner rotations and Iwasawa decompositions. This is possible because the combined effects of rotation, phase-shift, and attenuation filters lead to transformation matrices of the six-parameter Lorentz group applicable to Jones vectors and Stokes parameters for polarized light waves. The symmetry transformations in special relativity lead to a set of experiments which can be performed in optics laboratories.

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