On the quantization of Poisson brackets

Details On the quantization of Poisson brackets On the quantization of Poisson brackets

1995-05-24

arxiv.org/abs/q-alg/9505028v2

Advances in Mathematics Volume 127, Issue 1, 15 April 1997, Pages 73-93

Mathematics

Quantum Algebra

Latex, 24 pp., essentially corrected version

Scientific paper

10.1006/aima.1997.1626

In this paper we introduce two classes of Poisson brackets on algebras (or on sheaves of algebras). We call them locally free and nonsingular Poisson brackets. Using the Fedosov's method we prove that any locally free nonsingular Poisson bracket can be quantized. In particular, it follows from this that all Poisson brackets on an arbitrary field of characteristic zero can be quantized. The well known theorem about the quantization of nondegenerate Poisson brackets on smooth manifolds follows from the main result of this paper as well.

Affiliated with

Also associated with

No associations

Rating

On the quantization of Poisson brackets 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 On the quantization of Poisson brackets, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the quantization of Poisson brackets will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-408913