1210.8135 (S. Hasibul Hassan Chowdhury et al.)

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

S. Hasibul Hassan Chowdhury, S. Twareque Ali

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.

View original: http://arxiv.org/abs/1210.8135