Coadjoint Orbits and Wigner functions of (1+1)-Extended Affine Galilei Group and Galilei Group
arXiv:1210.8135
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.
43 pages, 2 figures, minor changes made in the introduction and final section, figures modified