The Fedosov deformation quantization for some induced symplectic connection

Details The Fedosov deformation quantization for some induced symplectic connection The Fedosov deformation quantization for some induced symplectic connection

2009-07-28

arxiv.org/abs/0907.4911v3

J. Math. Phys. 52, 022107 (2011)

Physics

Mathematical Physics

38 pages. Geometric interpretation has been added. References have been updated

Scientific paper

10.1063/1.3549588

The Fedosov deformation quantization on a cotangent bundle with a symplectic connection induced by some linear symmetric connection on the base space is considered. A global construction of the symplectic homogeneous connection on the cotangent bundle modelled on the linear symmetric connection from the base space is proposed. Examples of the induced symplectic connection are given. A detailed analysis of the Abelian connection and flat sections representing special types of functions for this kind of symplectic connection is presented. Some properties of the *-product determined by the induced symplectic connection are shown.

Affiliated with

Also associated with

No associations

Rating

The Fedosov deformation quantization for some induced symplectic connection 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 The Fedosov deformation quantization for some induced symplectic connection, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Fedosov deformation quantization for some induced symplectic connection will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-682165