Coherent State on SUq(2) Homogeneous Space

Details Coherent State on SUq(2) Homogeneous Space Coherent State on SUq(2) Homogeneous Space

2009-05-02

arxiv.org/abs/0905.0194v2

J. Phys. A:Math. Theor. 42 (2009) 295208

Mathematics

Quantum Algebra

21 pages, no figure, reference added, typo corrected

Scientific paper

10.1088/1751-8113/42/29/295208

The generalized coherent states for quantum groups introduced by Jurco and Stovicek are studied for the simplest example SU_q(2) in full detail. It is shown that the normalized SU_q(2) coherent states enjoy the property of completeness, and allow a resolution of the unity. This feature is expected to play a key role in application of these coherent states in physical models. The homogeneous space of SU_q(2), i.e. the q-sphere of Podles, is reproduced in complex coordinates by using the coherent states. Differential calculus in the complex form on the homogeneous space is developed. High spin limit of the SU_q(2) coherent states is also discussed.

Affiliated with

Also associated with

No associations

Rating

Coherent State on SUq(2) Homogeneous Space 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 Coherent State on SUq(2) Homogeneous Space, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Coherent State on SUq(2) Homogeneous Space will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-100958