Wigner Functions for a Class of Semidirect Product Groups

Details Wigner Functions for a Class of Semidirect Product Groups Wigner Functions for a Class of Semidirect Product Groups

2002-01-03

arxiv.org/abs/math-ph/0201007v1

Physics

Mathematical Physics

40 pages

Scientific paper

10.1088/0305-4470/36/11/311

Following a general method proposed earlier, we construct here Wigner functions defined on coadjoint orbits of a class of semidirect product groups. The groups in question are such that their unitary duals consist purely of representations from the discrete series and each unitary irreducible representation is associated with a coadjoint orbit. The set of all coadjoint orbits (hence UIRs) is finite and their union is dense in the dual of the Lie algebra. The simple structure of the groups and the orbits enables us to compute the various quantities appearing in the definition of the Wigner function explicitly. Possible use of the Wigner functions so constructed, in image analysis and quantum optical measurements, is suggested.

Affiliated with

Also associated with

No associations

Rating

Wigner Functions for a Class of Semidirect Product Groups does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Wigner Functions for a Class of Semidirect Product Groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Wigner Functions for a Class of Semidirect Product Groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-521250