Abelian connection in Fedosov deformation quantization. I. The 2-dimensional phase space

Details Abelian connection in Fedosov deformation quantization. I. The 2-dimensional phase space Abelian connection in Fedosov deformation quantization. I. The 2-dimensional phase space

2006-02-28

arxiv.org/abs/math-ph/0602063v2

Acta Phys. Pol. B 38, 3069 (2007)

Physics

Mathematical Physics

13 pages; new formulation of the criterion, when the Abelian connection is a finite formal series, is proposed. Modified proof

Scientific paper

General properties of an Abelian connection in Fedosov deformation
quantization are investigated. Definition and criterion of being a finite
formal series for an Abelian connection are presented. A proof that in
2-dimensional (2-D) case the Abelian connection is an ifinite formal series is
done.

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