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Geometrical origin of the \(\ast\)-product in the Fedosov formalism - MaRDI portal

Geometrical origin of the \(\ast\)-product in the Fedosov formalism (Q2568410)

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Geometrical origin of the \(\ast\)-product in the Fedosov formalism
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    Geometrical origin of the \(\ast\)-product in the Fedosov formalism (English)
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    10 October 2005
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    A survey of \textit{B. Fedosov}'s formalism [Deformation quantization and index theory (Mathematical Topics 9, Berlin: Akadmie Verlag) (1996; Zbl 0867.58061); Deformation quantization: pro and contra, Contemp. Math. 315, 1--7 (2002; Zbl 1041.53054)], Weyl bundles, symplectic and Abelian connections with examples in quantum mechanics is exposed.
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    Weyl bundle
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    connection in a vector bundle
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    deformation quantization
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    Fedosov formalism
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