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Associativity Breaks Down in Deformation Quantization
Lie Groups, Geometric Structures and Differential Equations — One Hundred Years after Sophus Lie
unpublished
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In the normal ordering expression: the product * of the Weyl algebra is given by the ll!DO-product formula as follows: ;-----7 • In the anti-normal ordering expression: the product * of the Weyl algebra is given by the ll!DO-product formula as follows: ; • In the Weyl ordering expression: the product * of the Weyl algebra is given by the Moyal product formula as follows: Iii ;--0 ---7 f(u,v) * g(u,v) = fexp 2{8v 1\ 8u}g
doi:10.2969/aspm/03710287
fatcat:rmvl7firbvgz5fpgtsdsp5yjha