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arxiv: math-ph/0602063 · v2 · submitted 2006-02-28 · 🧮 math-ph · math.MP

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

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keywords abelianconnectiondeformationdimensionalfedosovformalquantizationseries
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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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