A Family of Circular Bargmann Transforms

Details A Family of Circular Bargmann Transforms A Family of Circular Bargmann Transforms

2011-05-22

arxiv.org/abs/1105.4350v2

Physics

Mathematical Physics

8 pages

Scientific paper

When considering a charged particle evolving in the Poincar\'e disk under influence of a uniform magnetic field with a strength proportional to +1, we construct for all hyperbolic Landau level \epsilon^\gamma_$m$ m = 4m(-m), m 2 Z+ \[0, /2] a family of coherent states transforms labeled by (,m) and mapping isometrically square integrable functions on the unit circle with respect to the measure sin^\gamma-2m (\theta/2) d\theta onto spaces of bound states of the particle. These transforms are called circular Bargmann transforms.

Affiliated with

Also associated with

No associations

Rating

A Family of Circular Bargmann Transforms 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 A Family of Circular Bargmann Transforms, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Family of Circular Bargmann Transforms will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-330316