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arXiv · 1210.8135

Coadjoint Orbits and Wigner functions of (1+1)-Extended Affine Galilei Group and Galilei Group

S. Hasibul Hassan Chowdhury·S. Twareque Ali
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Abstract

We study the coadjoint orbits of the noncentrally extended (1+1)-affine Galilei group and compute the relevant Wigner functions built on them explicitly. We consider the centrally extended (1+1)-Galilei group and study its coadjoint orbits in the second half of the paper. We also compute the Wigner functions built on the corresponding coadjoint orbits subsequently. Finally, a comparative study of the structure of the coadjoint orbits and corresponding Wigner functions between the extended (1+1)-affine Galilei group and the centrally extended (1+1)-Galilei group is presented along with possible physical interpretations.

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S. Hasibul Hassan Chowdhury, S. Twareque Ali. 2014-02-05. Coadjoint Orbits and Wigner functions of (1+1)-Extended Affine Galilei Group and Galilei Group. https://arxiv.org/abs/1210.8135

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