Three Natural Generalizations of Fedosov Quantization
Quantum Algebra
2009-03-25 v9 High Energy Physics - Theory
Mathematical Physics
math.MP
Symplectic Geometry
Abstract
Fedosov's simple geometrical construction for deformation quantization of symplectic manifolds is generalized in three ways without introducing new variables: (1) The base manifold is allowed to be a supermanifold. (2) The star product does not have to be of Weyl/symmetric or Wick/normal type. (3) The initial geometric structures are allowed to depend on Planck's constant.
Keywords
Cite
@article{arxiv.0803.4201,
title = {Three Natural Generalizations of Fedosov Quantization},
author = {Klaus Bering},
journal= {arXiv preprint arXiv:0803.4201},
year = {2009}
}
Comments
21 pages, LaTeX. v2,v3,v4,v5: Minor changes, v6: References added, v7,v8: Minor changes, v9: Published version