Lie Algebra Quantization by the Star Product

Details Lie Algebra Quantization by the Star Product Lie Algebra Quantization by the Star Product

2010-11-15

arxiv.org/abs/1011.3289v1

Physics

High Energy Physics

High Energy Physics - Theory

16pages,2 figures

Scientific paper

We apply the star product quantization to the Lie algebra. The quantization in terms of the star product is well known and the commutation relation in this case is called the $\theta$-deformation where the constant $\theta$ appears as a parameter. In the application to the Lie algebra, we need to change the parameter $\theta$ to $x$-dependent $\theta(x)$. There is no essential difference between the quantization in the quantum mechanics and deriving quantum numbers in the Lie algebra from the viewpoint of the star product. We propose to unify them in higher dimensions, which may be analogous to the Kaluza-Klein theory in the classical theory.

Affiliated with

Also associated with

No associations

Rating

Lie Algebra Quantization by the Star Product 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 Lie Algebra Quantization by the Star Product, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Lie Algebra Quantization by the Star Product will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-298155